42460544136960 has 1728 divisors, whose sum is σ = 163741612769280. Its totient is φ = 10111258460160.

The previous prime is 42460544136911. The next prime is 42460544136961. The reversal of 42460544136960 is 6963144506424.

42460544136960 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 0 + 544 + 1 + 3 + 6 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42460544136897 and 42460544136906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42460544136961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106953511482 + ... + 106953511878.

It is an arithmetic number, because the mean of its divisors is an integer number (94757877760).

Almost surely, 2^{42460544136960} is an apocalyptic number.

42460544136960 is a gapful number since it is divisible by the number (40) 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 42460544136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81870806384640).

42460544136960 is an abundant number, since it is smaller than the sum of its proper divisors (121281068632320).

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

42460544136960 is a wasteful number, since it uses less digits than its factorization.

42460544136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 42460544136960 in words is "forty-two trillion, four hundred sixty billion, five hundred forty-four million, one hundred thirty-six thousand, nine hundred sixty".