60942316861440 has 960 divisors, whose sum is σ = 264326524862400. Its totient is φ = 13110258696192.

The previous prime is 60942316861381. The next prime is 60942316861441. The reversal of 60942316861440 is 4416861324906.

60942316861440 is a `hidden beast` number, since 6 + 0 + 9 + 4 + 2 + 3 + 16 + 8 + 614 + 4 + 0 = 666.

60942316861440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60942316861441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98394646 + ... + 99012074.

It is an arithmetic number, because the mean of its divisors is an integer number (275340130065).

Almost surely, 2^{60942316861440} is an apocalyptic number.

60942316861440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60942316861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132163262431200).

60942316861440 is an abundant number, since it is smaller than the sum of its proper divisors (203384208000960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60942316861440 is a wasteful number, since it uses less digits than its factorization.

60942316861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617492 (or 617463 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 60942316861440 in words is "sixty trillion, nine hundred forty-two billion, three hundred sixteen million, eight hundred sixty-one thousand, four hundred forty".