40205153205516 has 96 divisors (see below), whose sum is σ = 102437393446080. Its totient is φ = 12199023783936.

The previous prime is 40205153205509. The next prime is 40205153205559. The reversal of 40205153205516 is 61550235150204.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1296976 + ... + 9060488.

It is an arithmetic number, because the mean of its divisors is an integer number (1067056181730).

Almost surely, 2^{40205153205516} 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 40205153205516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51218696723040).

40205153205516 is an abundant number, since it is smaller than the sum of its proper divisors (62232240240564).

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

40205153205516 is a wasteful number, since it uses less digits than its factorization.

40205153205516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763995 (or 7763993 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 40205153205516 in words is "forty trillion, two hundred five billion, one hundred fifty-three million, two hundred five thousand, five hundred sixteen".