436864567102040 has 64 divisors (see below), whose sum is σ = 1225490214216960. Its totient is φ = 136165579355520.

The previous prime is 436864567102037. The next prime is 436864567102091. The reversal of 436864567102040 is 40201765468634.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70919569502 + ... + 70919575661.

It is an arithmetic number, because the mean of its divisors is an integer number (19148284597140).

Almost surely, 2^{436864567102040} is an apocalyptic number.

436864567102040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

436864567102040 is an abundant number, since it is smaller than the sum of its proper divisors (788625647114920).

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

436864567102040 is a wasteful number, since it uses less digits than its factorization.

436864567102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141839145192 (or 141839145188 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 56.

The spelling of 436864567102040 in words is "four hundred thirty-six trillion, eight hundred sixty-four billion, five hundred sixty-seven million, one hundred two thousand, forty".