242400939412032 has 420 divisors, whose sum is σ = 751469048077440. Its totient is φ = 77254641243648.

The previous prime is 242400939411977. The next prime is 242400939412069. The reversal of 242400939412032 is 230214939004242.

242400939412032 is a `hidden beast` number, since 2 + 4 + 2 + 400 + 9 + 3 + 94 + 120 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6973743069 + ... + 6973777827.

It is an arithmetic number, because the mean of its divisors is an integer number (1789212019232).

Almost surely, 2^{242400939412032} 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 242400939412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375734524038720).

242400939412032 is an abundant number, since it is smaller than the sum of its proper divisors (509068108665408).

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

242400939412032 is a wasteful number, since it uses less digits than its factorization.

242400939412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37372 (or 37330 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 242400939412032 in words is "two hundred forty-two trillion, four hundred billion, nine hundred thirty-nine million, four hundred twelve thousand, thirty-two".