400714172136040 has 256 divisors, whose sum is σ = 1041106867200000. Its totient is φ = 135970491773952.

The previous prime is 400714172136037. The next prime is 400714172136043. The reversal of 400714172136040 is 40631271417004.

It is an interprime number because it is at equal distance from previous prime (400714172136037) and next prime (400714172136043).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 400714172135984 and 400714172136002.

It is not an unprimeable number, because it can be changed into a prime (400714172136043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7941356331 + ... + 7941406789.

It is an arithmetic number, because the mean of its divisors is an integer number (4066823700000).

Almost surely, 2^{400714172136040} is an apocalyptic number.

400714172136040 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 400714172136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520553433600000).

400714172136040 is an abundant number, since it is smaller than the sum of its proper divisors (640392695063960).

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

400714172136040 is a wasteful number, since it uses less digits than its factorization.

400714172136040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51432 (or 51428 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 400714172136040 in words is "four hundred trillion, seven hundred fourteen billion, one hundred seventy-two million, one hundred thirty-six thousand, forty".