341052037629264 has 480 divisors, whose sum is σ = 1063991267819520. Its totient is φ = 104548565721600.

The previous prime is 341052037629223. The next prime is 341052037629283. The reversal of 341052037629264 is 462926730250143.

341052037629264 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 5 + 2 + 0 + 3 + 7 + 629 + 2 + 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 341052037629264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41637407409 + ... + 41637415599.

It is an arithmetic number, because the mean of its divisors is an integer number (2216648474624).

Almost surely, 2^{341052037629264} 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 341052037629264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531995633909760).

341052037629264 is an abundant number, since it is smaller than the sum of its proper divisors (722939230190256).

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

341052037629264 is a wasteful number, since it uses less digits than its factorization.

341052037629264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10288 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 341052037629264 in words is "three hundred forty-one trillion, fifty-two billion, thirty-seven million, six hundred twenty-nine thousand, two hundred sixty-four".