742213030627404 has 288 divisors, whose sum is σ = 2183499658109952. Its totient is φ = 208196654400000.

The previous prime is 742213030627379. The next prime is 742213030627459. The reversal of 742213030627404 is 404726030312247.

742213030627404 is a `hidden beast` number, since 7 + 4 + 2 + 2 + 13 + 0 + 3 + 0 + 627 + 4 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 742213030627404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24955871974 + ... + 24955901714.

It is an arithmetic number, because the mean of its divisors is an integer number (7581596035104).

Almost surely, 2^{742213030627404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742213030627404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091749829054976).

742213030627404 is an abundant number, since it is smaller than the sum of its proper divisors (1441286627482548).

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

742213030627404 is a wasteful number, since it uses less digits than its factorization.

742213030627404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35637 (or 35632 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 742213030627404 in words is "seven hundred forty-two trillion, two hundred thirteen billion, thirty million, six hundred twenty-seven thousand, four hundred four".