400109098032 has 240 divisors, whose sum is σ = 1356178824000. Its totient is φ = 107498078208.

The previous prime is 400109098019. The next prime is 400109098091. The reversal of 400109098032 is 230890901004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20776344 + ... + 20795592.

It is an arithmetic number, because the mean of its divisors is an integer number (5650745100).

Almost surely, 2^400109098032 is an apocalyptic number.

400109098032 is a gapful number since it is divisible by the number (42) 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 400109098032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678089412000).

400109098032 is an abundant number, since it is smaller than the sum of its proper divisors (956069725968).

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

400109098032 is a wasteful number, since it uses less digits than its factorization.

400109098032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20500 (or 20491 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 400109098032 its reverse (230890901004), we get a palindrome (630999999036).

The spelling of 400109098032 in words is "four hundred billion, one hundred nine million, ninety-eight thousand, thirty-two".