400374473004 has 144 divisors (see below), whose sum is σ = 1110878496000. Its totient is φ = 120578958720.

The previous prime is 400374472957. The next prime is 400374473017.

400374473004 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400374473004.

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, 44486497 + ... + 44495495.

It is an arithmetic number, because the mean of its divisors is an integer number (7714434000).

Almost surely, 2^400374473004 is an apocalyptic number.

400374473004 is a gapful number since it is divisible by the number (44) 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 400374473004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555439248000).

400374473004 is an abundant number, since it is smaller than the sum of its proper divisors (710504022996).

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

400374473004 is a wasteful number, since it uses less digits than its factorization.

400374473004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9700 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

It can be divided in two parts, 400374 and 473004, that added together give a palindrome (873378).

The spelling of 400374473004 in words is "four hundred billion, three hundred seventy-four million, four hundred seventy-three thousand, four".