41625988411392 has 1872 divisors, whose sum is σ = 162822695293440. Its totient is φ = 10267458600960.

The previous prime is 41625988411367. The next prime is 41625988411487. The reversal of 41625988411392 is 29311488952614.

41625988411392 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 59 + 88 + 411 + 3 + 92 = 666.

It is a super-2 number, since 2×41625988411392² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 299467542459 + ... + 299467542597.

It is an arithmetic number, because the mean of its divisors is an integer number (86977935520).

Almost surely, 2^{41625988411392} is an apocalyptic number.

41625988411392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41625988411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81411347646720).

41625988411392 is an abundant number, since it is smaller than the sum of its proper divisors (121196706882048).

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

41625988411392 is a wasteful number, since it uses less digits than its factorization.

41625988411392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 185 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 41625988411392 in words is "forty-one trillion, six hundred twenty-five billion, nine hundred eighty-eight million, four hundred eleven thousand, three hundred ninety-two".