400024140031320 has 512 divisors, whose sum is σ = 1412967628800000. Its totient is φ = 88707622348800.

The previous prime is 400024140031297. The next prime is 400024140031387. The reversal of 400024140031320 is 23130041420004.

It is a super-2 number, since 2×400024140031320² (a number of 30 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2222278681 + ... + 2222458679.

It is an arithmetic number, because the mean of its divisors is an integer number (2759702400000).

Almost surely, 2^{400024140031320} is an apocalyptic number.

400024140031320 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 400024140031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706483814400000).

400024140031320 is an abundant number, since it is smaller than the sum of its proper divisors (1012943488768680).

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

400024140031320 is a wasteful number, since it uses less digits than its factorization.

400024140031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180559 (or 180555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 400024140031320 its reverse (23130041420004), we get a palindrome (423154181451324).

The spelling of 400024140031320 in words is "four hundred trillion, twenty-four billion, one hundred forty million, thirty-one thousand, three hundred twenty".