40882122501696 has 1344 divisors, whose sum is σ = 152125135749120. Its totient is φ = 10531192320000.

The previous prime is 40882122501659. The next prime is 40882122501709. The reversal of 40882122501696 is 69610522128804.

40882122501696 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 2 + 122 + 501 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8257344021 + ... + 8257348971.

Almost surely, 2^{40882122501696} 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 40882122501696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76062567874560).

40882122501696 is an abundant number, since it is smaller than the sum of its proper divisors (111243013247424).

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

40882122501696 is a wasteful number, since it uses less digits than its factorization.

40882122501696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 40882122501696 in words is "forty trillion, eight hundred eighty-two billion, one hundred twenty-two million, five hundred one thousand, six hundred ninety-six".