400450132251 has 48 divisors (see below), whose sum is σ = 625858833600. Its totient is φ = 245270935296.

The previous prime is 400450132211. The next prime is 400450132253. The reversal of 400450132251 is 152231054004.

400450132251 is a `hidden beast` number, since 400 + 4 + 5 + 0 + 1 + 3 + 2 + 251 = 666.

It is not a de Polignac number, because 400450132251 - 2¹³ = 400450124059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400450132253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37812265 + ... + 37822853.

It is an arithmetic number, because the mean of its divisors is an integer number (13038725700).

Almost surely, 2^400450132251 is an apocalyptic number.

400450132251 is a deficient number, since it is larger than the sum of its proper divisors (225408701349).

400450132251 is a wasteful number, since it uses less digits than its factorization.

400450132251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12100 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 400450132251 its reverse (152231054004), we get a palindrome (552681186255).

The spelling of 400450132251 in words is "four hundred billion, four hundred fifty million, one hundred thirty-two thousand, two hundred fifty-one".