60439142400 has 1344 divisors, whose sum is σ = 262111223808. Its totient is φ = 11938037760.

The previous prime is 60439142359. The next prime is 60439142429. The reversal of 60439142400 is 424193406.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285939177 + ... + 1285939223.

It is an arithmetic number, because the mean of its divisors is an integer number (195023232).

Almost surely, 2^60439142400 is an apocalyptic number.

60439142400 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 60439142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131055611904).

60439142400 is an abundant number, since it is smaller than the sum of its proper divisors (201672081408).

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

60439142400 is a wasteful number, since it uses less digits than its factorization.

60439142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 60439142400 in words is "sixty billion, four hundred thirty-nine million, one hundred forty-two thousand, four hundred".