408071010672 has 400 divisors, whose sum is σ = 1323705694080. Its totient is φ = 120549026304.

The previous prime is 408071010671. The next prime is 408071010707. The reversal of 408071010672 is 276010170804.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408071010671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42738603 + ... + 42748149.

Almost surely, 2^408071010672 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 408071010672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661852847040).

408071010672 is an abundant number, since it is smaller than the sum of its proper divisors (915634683408).

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

408071010672 is a wasteful number, since it uses less digits than its factorization.

408071010672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682 (or 9667 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 408071010672 in words is "four hundred eight billion, seventy-one million, ten thousand, six hundred seventy-two".