408680294787072 has 5760 divisors, whose sum is σ = 1731503518617600. Its totient is φ = 95045065113600.

The previous prime is 408680294787049. The next prime is 408680294787113. The reversal of 408680294787072 is 270787492086804.

It is a happy number.

408680294787072 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 80 + 2 + 9 + 478 + 7 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6926784657379 + ... + 6926784657437.

It is an arithmetic number, because the mean of its divisors is an integer number (300608249760).

Almost surely, 2^{408680294787072} is an apocalyptic number.

408680294787072 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 408680294787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865751759308800).

408680294787072 is an abundant number, since it is smaller than the sum of its proper divisors (1322823223830528).

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

408680294787072 is an equidigital number, since it uses as much as digits as its factorization.

408680294787072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 408680294787072 in words is "four hundred eight trillion, six hundred eighty billion, two hundred ninety-four million, seven hundred eighty-seven thousand, seventy-two".