400104040 has 64 divisors (see below), whose sum is σ = 1033119360. Its totient is φ = 136608000.

The previous prime is 400104037. The next prime is 400104041. The reversal of 400104040 is 40401004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 400104040.

It is not an unprimeable number, because it can be changed into a prime (400104041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67434 + ... + 73126.

It is an arithmetic number, because the mean of its divisors is an integer number (16142490).

Almost surely, 2^400104040 is an apocalyptic number.

400104040 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 400104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516559680).

400104040 is an abundant number, since it is smaller than the sum of its proper divisors (633015320).

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

400104040 is a wasteful number, since it uses less digits than its factorization.

400104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 400104040 is about 20002.6008308920. The cubic root of 400104040 is about 736.8701752966.

Adding to 400104040 its reverse (40401004), we get a palindrome (440505044).

The spelling of 400104040 in words is "four hundred million, one hundred four thousand, forty".