409601131632 has 360 divisors, whose sum is σ = 1456836256512. Its totient is φ = 106233120000.

The previous prime is 409601131603. The next prime is 409601131651. The reversal of 409601131632 is 236131106904.

409601131632 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 0 + 1 + 13 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58286103 + ... + 58293129.

Almost surely, 2^409601131632 is an apocalyptic number.

409601131632 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 409601131632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728418128256).

409601131632 is an abundant number, since it is smaller than the sum of its proper divisors (1047235124880).

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

409601131632 is a wasteful number, since it uses less digits than its factorization.

409601131632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 409601131632 in words is "four hundred nine billion, six hundred one million, one hundred thirty-one thousand, six hundred thirty-two".