406127135468160 has 256 divisors, whose sum is σ = 1444385224512000. Its totient is φ = 107847427903488.

The previous prime is 406127135468143. The next prime is 406127135468189. The reversal of 406127135468160 is 61864531721604.

406127135468160 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 2 + 7 + 13 + 5 + 468 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 406127135468097 and 406127135468106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45038967 + ... + 53298806.

It is an arithmetic number, because the mean of its divisors is an integer number (5642129783250).

Almost surely, 2^{406127135468160} is an apocalyptic number.

406127135468160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406127135468160 is an abundant number, since it is smaller than the sum of its proper divisors (1038258089043840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406127135468160 is a wasteful number, since it uses less digits than its factorization.

406127135468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98338040 (or 98338022 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 406127135468160 in words is "four hundred six trillion, one hundred twenty-seven billion, one hundred thirty-five million, four hundred sixty-eight thousand, one hundred sixty".