741413316913920 has 1728 divisors, whose sum is σ = 3198256025013504. Its totient is φ = 154732257607680.

The previous prime is 741413316913889. The next prime is 741413316914033. The reversal of 741413316913920 is 29319613314147.

741413316913920 is a `hidden beast` number, since 7 + 4 + 1 + 413 + 31 + 69 + 139 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6104467914 + ... + 6104589366.

It is an arithmetic number, because the mean of its divisors is an integer number (1850842607068).

Almost surely, 2^{741413316913920} is an apocalyptic number.

741413316913920 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 741413316913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599128012506752).

741413316913920 is an abundant number, since it is smaller than the sum of its proper divisors (2456842708099584).

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

741413316913920 is a wasteful number, since it uses less digits than its factorization.

741413316913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121638 (or 121621 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 741413316913920 in words is "seven hundred forty-one trillion, four hundred thirteen billion, three hundred sixteen million, nine hundred thirteen thousand, nine hundred twenty".