431438666652 has 576 divisors, whose sum is σ = 1368188236800. Its totient is φ = 118596006144.

The previous prime is 431438666641. The next prime is 431438666671. The reversal of 431438666652 is 256666834134.

It is a super-2 number, since 2×431438666652² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1640451073 + ... + 1640451335.

It is an arithmetic number, because the mean of its divisors is an integer number (2375326800).

Almost surely, 2^431438666652 is an apocalyptic number.

431438666652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431438666652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684094118400).

431438666652 is an abundant number, since it is smaller than the sum of its proper divisors (936749570148).

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

431438666652 is a wasteful number, since it uses less digits than its factorization.

431438666652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 407 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 431438666652 in words is "four hundred thirty-one billion, four hundred thirty-eight million, six hundred sixty-six thousand, six hundred fifty-two".