400402104011433 has 40 divisors (see below), whose sum is σ = 645265100033928. Its totient is φ = 246492453182976.

The previous prime is 400402104011423. The next prime is 400402104011513. The reversal of 400402104011433 is 334110401204004.

400402104011433 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 0 + 210 + 4 + 0 + 11 + 433 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195243834729024 + 205158269282409 = 13972968^2 + 14323347^2 .

It is not a de Polignac number, because 400402104011433 - 2⁵ = 400402104011401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 400402104011397 and 400402104011406.

It is not an unprimeable number, because it can be changed into a prime (400402104011423) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2743121166 + ... + 2743267127.

Almost surely, 2^{400402104011433} is an apocalyptic number.

It is an amenable number.

400402104011433 is a deficient number, since it is larger than the sum of its proper divisors (244862996022495).

400402104011433 is a wasteful number, since it uses less digits than its factorization.

400402104011433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486388375 (or 5486388366 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 400402104011433 its reverse (334110401204004), we get a palindrome (734512505215437).

The spelling of 400402104011433 in words is "four hundred trillion, four hundred two billion, one hundred four million, eleven thousand, four hundred thirty-three".