400414015600 has 120 divisors (see below), whose sum is σ = 965152135040. Its totient is φ = 159640968960.

The previous prime is 400414015583. The next prime is 400414015601. The reversal of 400414015600 is 6510414004.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400414015601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224572309 + ... + 224574091.

Almost surely, 2^400414015600 is an apocalyptic number.

400414015600 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 400414015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482576067520).

400414015600 is an abundant number, since it is smaller than the sum of its proper divisors (564738119440).

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

400414015600 is a wasteful number, since it uses less digits than its factorization.

400414015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 400414015600 its reverse (6510414004), we get a palindrome (406924429604).

The spelling of 400414015600 in words is "four hundred billion, four hundred fourteen million, fifteen thousand, six hundred".