400516441374751 has 96 divisors (see below), whose sum is σ = 473017607193600. Its totient is φ = 336888488509440.

The previous prime is 400516441374739. The next prime is 400516441374811. The reversal of 400516441374751 is 157473144615004.

It is not a de Polignac number, because 400516441374751 - 2²¹ = 400516439277599 is a prime.

It is a super-2 number, since 2×400516441374751² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400516441374701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15470512815 + ... + 15470538703.

It is an arithmetic number, because the mean of its divisors is an integer number (4927266741600).

Almost surely, 2^{400516441374751} is an apocalyptic number.

400516441374751 is a deficient number, since it is larger than the sum of its proper divisors (72501165818849).

400516441374751 is a wasteful number, since it uses less digits than its factorization.

400516441374751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27049 (or 27032 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

Adding to 400516441374751 its reverse (157473144615004), we get a palindrome (557989585989755).

The spelling of 400516441374751 in words is "four hundred trillion, five hundred sixteen billion, four hundred forty-one million, three hundred seventy-four thousand, seven hundred fifty-one".