41531665094400 has 1296 divisors, whose sum is σ = 157525090311456. Its totient is φ = 9598748590080.

The previous prime is 41531665094393. The next prime is 41531665094419. The reversal of 41531665094400 is 449056613514.

It is a happy number.

It is a super-2 number, since 2×41531665094400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41531665094400.

It is a congruent number.

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, 36020524224 + ... + 36020525376.

It is an arithmetic number, because the mean of its divisors is an integer number (121547137586).

Almost surely, 2^{41531665094400} is an apocalyptic number.

41531665094400 is a gapful number since it is divisible by the number (40) 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 41531665094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78762545155728).

41531665094400 is an abundant number, since it is smaller than the sum of its proper divisors (115993425217056).

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

41531665094400 is a wasteful number, since it uses less digits than its factorization.

41531665094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 41531665094400 in words is "forty-one trillion, five hundred thirty-one billion, six hundred sixty-five million, ninety-four thousand, four hundred".