409402877400 has 576 divisors, whose sum is σ = 1642935247200. Its totient is φ = 90187776000.

The previous prime is 409402877381. The next prime is 409402877413. The reversal of 409402877400 is 4778204904.

It is a super-2 number, since 2×409402877400² (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 143 ways as a sum of consecutive naturals, for example, 9740430 + ... + 9782370.

Almost surely, 2^409402877400 is an apocalyptic number.

409402877400 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 409402877400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821467623600).

409402877400 is an abundant number, since it is smaller than the sum of its proper divisors (1233532369800).

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

409402877400 is a wasteful number, since it uses less digits than its factorization.

409402877400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42020 (or 42008 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 409402877400 in words is "four hundred nine billion, four hundred two million, eight hundred seventy-seven thousand, four hundred".