409431622752 has 120 divisors (see below), whose sum is σ = 1204429914072. Its totient is φ = 136442880000.

The previous prime is 409431622739. The next prime is 409431622757. The reversal of 409431622752 is 257226134904.

409431622752 is a `hidden beast` number, since 409 + 4 + 3 + 16 + 227 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 409431622698 and 409431622707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409431622757) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11597127 + ... + 11632377.

Almost surely, 2^409431622752 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 409431622752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602214957036).

409431622752 is an abundant number, since it is smaller than the sum of its proper divisors (794998291320).

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

409431622752 is a wasteful number, since it uses less digits than its factorization.

409431622752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39754 (or 39737 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 409431622752 in words is "four hundred nine billion, four hundred thirty-one million, six hundred twenty-two thousand, seven hundred fifty-two".