400240414320 has 80 divisors (see below), whose sum is σ = 1244980128672. Its totient is φ = 106366489600.

The previous prime is 400240414271. The next prime is 400240414331. The reversal of 400240414320 is 23414042004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×400240414320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2775531 + ... + 2916170.

Almost surely, 2^400240414320 is an apocalyptic number.

400240414320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400240414320 is an abundant number, since it is smaller than the sum of its proper divisors (844739714352).

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

400240414320 is a wasteful number, since it uses less digits than its factorization.

400240414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692010 (or 5692004 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 400240414320 its reverse (23414042004), we get a palindrome (423654456324).

The spelling of 400240414320 in words is "four hundred billion, two hundred forty million, four hundred fourteen thousand, three hundred twenty".