40135215345021 has 192 divisors, whose sum is σ = 65877728716800. Its totient is φ = 24349083542784.

The previous prime is 40135215345011. The next prime is 40135215345041. The reversal of 40135215345021 is 12054351253104.

40135215345021 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 52 + 1 + 534 + 50 + 21 = 666.

It is not a de Polignac number, because 40135215345021 - 2⁶ = 40135215344957 is a prime.

It is a super-3 number, since 3×40135215345021³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40135215345011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1770477675 + ... + 1770500343.

It is an arithmetic number, because the mean of its divisors is an integer number (343113170400).

Almost surely, 2^{40135215345021} is an apocalyptic number.

It is an amenable number.

40135215345021 is a deficient number, since it is larger than the sum of its proper divisors (25742513371779).

40135215345021 is a wasteful number, since it uses less digits than its factorization.

40135215345021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22942 (or 22930 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 40135215345021 its reverse (12054351253104), we get a palindrome (52189566598125).

The spelling of 40135215345021 in words is "forty trillion, one hundred thirty-five billion, two hundred fifteen million, three hundred forty-five thousand, twenty-one".