400404504240 has 240 divisors, whose sum is σ = 1448652467808. Its totient is φ = 98525528064.

The previous prime is 400404504229. The next prime is 400404504281. The reversal of 400404504240 is 42405404004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 33849207 + ... + 33861033.

Almost surely, 2^400404504240 is an apocalyptic number.

400404504240 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 400404504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724326233904).

400404504240 is an abundant number, since it is smaller than the sum of its proper divisors (1048247963568).

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

400404504240 is a wasteful number, since it uses less digits than its factorization.

400404504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15476 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 400404504240 its reverse (42405404004), we get a palindrome (442809908244).

The spelling of 400404504240 in words is "four hundred billion, four hundred four million, five hundred four thousand, two hundred forty".