74156912838400 has 432 divisors, whose sum is σ = 211323299443200. Its totient is φ = 25237363507200.

The previous prime is 74156912838397. The next prime is 74156912838523. The reversal of 74156912838400 is 483821965147.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13263619605 + ... + 13263625195.

It is a 1-persistent number, because it is pandigital, but 2⋅74156912838400 = 148313825676800 is not.

Almost surely, 2^{74156912838400} is an apocalyptic number.

74156912838400 is a gapful number since it is divisible by the number (70) 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 74156912838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105661649721600).

74156912838400 is an abundant number, since it is smaller than the sum of its proper divisors (137166386604800).

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

74156912838400 is a wasteful number, since it uses less digits than its factorization.

74156912838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7760 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 74156912838400 in words is "seventy-four trillion, one hundred fifty-six billion, nine hundred twelve million, eight hundred thirty-eight thousand, four hundred".