740913031076400 has 5760 divisors, whose sum is σ = 3514338067968000. Its totient is φ = 147525595176960.

The previous prime is 740913031076381. The next prime is 740913031076417. The reversal of 740913031076400 is 4670130319047.

740913031076400 is a `hidden beast` number, since 7 + 4 + 0 + 9 + 130 + 3 + 107 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2754323535466 + ... + 2754323535734.

It is an arithmetic number, because the mean of its divisors is an integer number (610128136800).

Almost surely, 2^{740913031076400} is an apocalyptic number.

740913031076400 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 740913031076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757169033984000).

740913031076400 is an abundant number, since it is smaller than the sum of its proper divisors (2773425036891600).

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

740913031076400 is a wasteful number, since it uses less digits than its factorization.

740913031076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 740913031076400 in words is "seven hundred forty trillion, nine hundred thirteen billion, thirty-one million, seventy-six thousand, four hundred".