408280010400 has 1296 divisors, whose sum is σ = 1683595368000. Its totient is φ = 92649553920.

The previous prime is 408280010393. The next prime is 408280010401. The reversal of 408280010400 is 4010082804.

It is not an unprimeable number, because it can be changed into a prime (408280010401) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 909309376 + ... + 909309824.

It is an arithmetic number, because the mean of its divisors is an integer number (1299070500).

Almost surely, 2^408280010400 is an apocalyptic number.

408280010400 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 408280010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841797684000).

408280010400 is an abundant number, since it is smaller than the sum of its proper divisors (1275315357600).

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

408280010400 is a wasteful number, since it uses less digits than its factorization.

408280010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 408280010400 in words is "four hundred eight billion, two hundred eighty million, ten thousand, four hundred".