400009420800 has 1008 divisors, whose sum is σ = 1586148323760. Its totient is φ = 95551488000.

The previous prime is 400009420777. The next prime is 400009420819. The reversal of 400009420800 is 8024900004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2209996710 + ... + 2209996890.

It is an arithmetic number, because the mean of its divisors is an integer number (1573559845).

Almost surely, 2^400009420800 is an apocalyptic number.

400009420800 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 400009420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793074161880).

400009420800 is an abundant number, since it is smaller than the sum of its proper divisors (1186138902960).

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

400009420800 is a wasteful number, since it uses less digits than its factorization.

400009420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 400009420800 in words is "four hundred billion, nine million, four hundred twenty thousand, eight hundred".