406401062231151 has 24 divisors (see below), whose sum is σ = 632229371570160. Its totient is φ = 250073204322816.

The previous prime is 406401062231137. The next prime is 406401062231167. The reversal of 406401062231151 is 151132260104604.

406401062231151 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 0 + 10 + 622 + 3 + 1 + 15 + 1 = 666.

It is not a de Polignac number, because 406401062231151 - 2³⁵ = 406366702492783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406401062231191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135714306 + ... + 138676511.

It is an arithmetic number, because the mean of its divisors is an integer number (26342890482090).

Almost surely, 2^{406401062231151} is an apocalyptic number.

406401062231151 is a deficient number, since it is larger than the sum of its proper divisors (225828309339009).

406401062231151 is a wasteful number, since it uses less digits than its factorization.

406401062231151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274403495 (or 274403492 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 406401062231151 in words is "four hundred six trillion, four hundred one billion, sixty-two million, two hundred thirty-one thousand, one hundred fifty-one".