408970123632 has 960 divisors, whose sum is σ = 1485024952320. Its totient is φ = 106321932288.

The previous prime is 408970123591. The next prime is 408970123657. The reversal of 408970123632 is 236321079804.

408970123632 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 7 + 0 + 1 + 2 + 3 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2448922813 + ... + 2448922979.

It is an arithmetic number, because the mean of its divisors is an integer number (1546900992).

Almost surely, 2^408970123632 is an apocalyptic number.

408970123632 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 408970123632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742512476160).

408970123632 is an abundant number, since it is smaller than the sum of its proper divisors (1076054828688).

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

408970123632 is a wasteful number, since it uses less digits than its factorization.

408970123632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 408970123632 in words is "four hundred eight billion, nine hundred seventy million, one hundred twenty-three thousand, six hundred thirty-two".