41157164395440 has 960 divisors, whose sum is σ = 154871407416960. Its totient is φ = 9746658754560.

The previous prime is 41157164395397. The next prime is 41157164395463. The reversal of 41157164395440 is 4459346175114.

41157164395440 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 7 + 1 + 64 + 39 + 544 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3399445867 + ... + 3399457973.

It is an arithmetic number, because the mean of its divisors is an integer number (161324382726).

Almost surely, 2^{41157164395440} is an apocalyptic number.

41157164395440 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 41157164395440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77435703708480).

41157164395440 is an abundant number, since it is smaller than the sum of its proper divisors (113714243021520).

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

41157164395440 is a wasteful number, since it uses less digits than its factorization.

41157164395440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12390 (or 12381 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 41157164395440 in words is "forty-one trillion, one hundred fifty-seven billion, one hundred sixty-four million, three hundred ninety-five thousand, four hundred forty".