41295252063744 has 480 divisors, whose sum is σ = 136938712694784. Its totient is φ = 11735335157760.

The previous prime is 41295252063701. The next prime is 41295252063781. The reversal of 41295252063744 is 44736025259214.

41295252063744 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 52 + 520 + 63 + 7 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 12177896289 + ... + 12177899679.

Almost surely, 2^{41295252063744} 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 41295252063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68469356347392).

41295252063744 is an abundant number, since it is smaller than the sum of its proper divisors (95643460631040).

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

41295252063744 is a wasteful number, since it uses less digits than its factorization.

41295252063744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 41295252063744 in words is "forty-one trillion, two hundred ninety-five billion, two hundred fifty-two million, sixty-three thousand, seven hundred forty-four".