40205153532100 has 72 divisors (see below), whose sum is σ = 92461929120288. Its totient is φ = 15122183539200.

The previous prime is 40205153532091. The next prime is 40205153532119. The reversal of 40205153532100 is 123535150204.

40205153532100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8984022 + ... + 12693421.

It is an arithmetic number, because the mean of its divisors is an integer number (1284193460004).

Almost surely, 2^{40205153532100} is an apocalyptic number.

It is an amenable number.

40205153532100 is an abundant number, since it is smaller than the sum of its proper divisors (52256775588188).

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

40205153532100 is a wasteful number, since it uses less digits than its factorization.

40205153532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21678565 (or 21678558 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 40205153532100 its reverse (123535150204), we get a palindrome (40328688682304).

The spelling of 40205153532100 in words is "forty trillion, two hundred five billion, one hundred fifty-three million, five hundred thirty-two thousand, one hundred".