401177378151 has 64 divisors (see below), whose sum is σ = 688095959040. Its totient is φ = 228305848320.

The previous prime is 401177378099. The next prime is 401177378153. The reversal of 401177378151 is 151873771104.

401177378151 is a `hidden beast` number, since 401 + 177 + 3 + 78 + 1 + 5 + 1 = 666.

It is not a de Polignac number, because 401177378151 - 2¹³ = 401177369959 is a prime.

It is a super-2 number, since 2×401177378151² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401177378097 and 401177378106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401177378153) 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, 2094466 + ... + 2277968.

It is an arithmetic number, because the mean of its divisors is an integer number (10751499360).

Almost surely, 2^401177378151 is an apocalyptic number.

401177378151 is a deficient number, since it is larger than the sum of its proper divisors (286918580889).

401177378151 is a wasteful number, since it uses less digits than its factorization.

401177378151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183973 (or 183967 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 401177378151 in words is "four hundred one billion, one hundred seventy-seven million, three hundred seventy-eight thousand, one hundred fifty-one".