408030638400 has 1512 divisors, whose sum is σ = 1859034770112. Its totient is φ = 82446336000.

The previous prime is 408030638387. The next prime is 408030638453. The reversal of 408030638400 is 4836030804.

It is a super-2 number, since 2×408030638400² (a number of 24 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 5589460764 + ... + 5589460836.

Almost surely, 2^408030638400 is an apocalyptic number.

408030638400 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 408030638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929517385056).

408030638400 is an abundant number, since it is smaller than the sum of its proper divisors (1451004131712).

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

408030638400 is a wasteful number, since it uses less digits than its factorization.

408030638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 408030638400 in words is "four hundred eight billion, thirty million, six hundred thirty-eight thousand, four hundred".