400117100880 has 320 divisors, whose sum is σ = 1481780160000. Its totient is φ = 89223966720.

The previous prime is 400117100849. The next prime is 400117100881. The reversal of 400117100880 is 88001711004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400117100881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3315846 + ... + 3434394.

It is an arithmetic number, because the mean of its divisors is an integer number (4630563000).

Almost surely, 2^400117100880 is an apocalyptic number.

400117100880 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 400117100880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740890080000).

400117100880 is an abundant number, since it is smaller than the sum of its proper divisors (1081663059120).

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

400117100880 is a wasteful number, since it uses less digits than its factorization.

400117100880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118627 (or 118607 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

Adding to 400117100880 its reverse (88001711004), we get a palindrome (488118811884).

The spelling of 400117100880 in words is "four hundred billion, one hundred seventeen million, one hundred thousand, eight hundred eighty".