42344220939264 has 528 divisors, whose sum is σ = 131036481139200. Its totient is φ = 13643796971520.

The previous prime is 42344220939257. The next prime is 42344220939283. The reversal of 42344220939264 is 46293902244324.

42344220939264 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 42 + 209 + 392 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42344220939264.

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, 8091765192 + ... + 8091770424.

Almost surely, 2^{42344220939264} 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 42344220939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65518240569600).

42344220939264 is an abundant number, since it is smaller than the sum of its proper divisors (88692260199936).

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

42344220939264 is a wasteful number, since it uses less digits than its factorization.

42344220939264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 42344220939264 in words is "forty-two trillion, three hundred forty-four billion, two hundred twenty million, nine hundred thirty-nine thousand, two hundred sixty-four".