41238094270464 has 1248 divisors, whose sum is σ = 153467865591040. Its totient is φ = 10773621374976.

The previous prime is 41238094270459. The next prime is 41238094270523. The reversal of 41238094270464 is 46407249083214.

41238094270464 is a `hidden beast` number, since 4 + 1 + 23 + 8 + 0 + 94 + 2 + 70 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 41238094270464.

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, 9872656344 + ... + 9872660520.

Almost surely, 2^{41238094270464} 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 41238094270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76733932795520).

41238094270464 is an abundant number, since it is smaller than the sum of its proper divisors (112229771320576).

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

41238094270464 is a wasteful number, since it uses less digits than its factorization.

41238094270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 41238094270464 in words is "forty-one trillion, two hundred thirty-eight billion, ninety-four million, two hundred seventy thousand, four hundred sixty-four".