400104406728 has 96 divisors (see below), whose sum is σ = 1167523102200. Its totient is φ = 123050824704.

The previous prime is 400104406703. The next prime is 400104406769. The reversal of 400104406728 is 827604401004.

It can be written as a sum of positive squares in 4 ways, for example, as 210477253284 + 189627153444 = 458778^2 + 435462^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 400104406692 and 400104406701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900218 + ... + 2100246.

Almost surely, 2^400104406728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400104406728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583761551100).

400104406728 is an abundant number, since it is smaller than the sum of its proper divisors (767418695472).

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

400104406728 is a wasteful number, since it uses less digits than its factorization.

400104406728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202191 (or 202184 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 400104406728 in words is "four hundred billion, one hundred four million, four hundred six thousand, seven hundred twenty-eight".