60841142400 has 384 divisors, whose sum is σ = 207312356160. Its totient is φ = 15670886400.

The previous prime is 60841142389. The next prime is 60841142459. The reversal of 60841142400 is 424114806.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55765855 + ... + 55766945.

Almost surely, 2^60841142400 is an apocalyptic number.

60841142400 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 60841142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103656178080).

60841142400 is an abundant number, since it is smaller than the sum of its proper divisors (146471213760).

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

60841142400 is a wasteful number, since it uses less digits than its factorization.

60841142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 60841142400 in words is "sixty billion, eight hundred forty-one million, one hundred forty-two thousand, four hundred".