408213872640 has 1512 divisors, whose sum is σ = 1764447527232. Its totient is φ = 90296156160.

The previous prime is 408213872621. The next prime is 408213872657. The reversal of 408213872640 is 46278312804.

It is a happy number.

408213872640 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 1 + 387 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×408213872640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13168189425 + ... + 13168189455.

Almost surely, 2^408213872640 is an apocalyptic number.

408213872640 is a gapful number since it is divisible by the number (40) 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 408213872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882223763616).

408213872640 is an abundant number, since it is smaller than the sum of its proper divisors (1356233654592).

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

408213872640 is an frugal number, since it uses more digits than its factorization.

408213872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 408213872640 in words is "four hundred eight billion, two hundred thirteen million, eight hundred seventy-two thousand, six hundred forty".