40102195101696 has 1120 divisors, whose sum is σ = 148130160208800. Its totient is φ = 10567230160896.

The previous prime is 40102195101659. The next prime is 40102195101763. The reversal of 40102195101696 is 69610159120104.

40102195101696 is a `hidden beast` number, since 4 + 0 + 10 + 21 + 9 + 510 + 16 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34780741056 + ... + 34780742208.

It is an arithmetic number, because the mean of its divisors is an integer number (132259071615).

Almost surely, 2^{40102195101696} 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 40102195101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74065080104400).

40102195101696 is an abundant number, since it is smaller than the sum of its proper divisors (108027965107104).

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

40102195101696 is an frugal number, since it uses more digits than its factorization.

40102195101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 40102195101696 in words is "forty trillion, one hundred two billion, one hundred ninety-five million, one hundred one thousand, six hundred ninety-six".