40497828538176 has 448 divisors, whose sum is σ = 137269837728000. Its totient is φ = 11621449728000.

The previous prime is 40497828538163. The next prime is 40497828538187. The reversal of 40497828538176 is 67183582879404.

It is a happy number.

40497828538176 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 7 + 82 + 8 + 538 + 1 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14935176 + ... + 17437176.

It is a 1-persistent number, because it is pandigital, but 2⋅40497828538176 = 80995657076352 is not.

Almost surely, 2^{40497828538176} 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 40497828538176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68634918864000).

40497828538176 is an abundant number, since it is smaller than the sum of its proper divisors (96772009189824).

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

40497828538176 is a wasteful number, since it uses less digits than its factorization.

40497828538176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502087 (or 2502071 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 40497828538176 in words is "forty trillion, four hundred ninety-seven billion, eight hundred twenty-eight million, five hundred thirty-eight thousand, one hundred seventy-six".