406234251272133 has 32 divisors (see below), whose sum is σ = 607675758510080. Its totient is φ = 268191613753200.

The previous prime is 406234251272131. The next prime is 406234251272147. The reversal of 406234251272133 is 331272152432604.

406234251272133 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 3 + 425 + 1 + 2 + 7 + 213 + 3 = 666.

It is not a de Polignac number, because 406234251272133 - 2¹ = 406234251272131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406234251272131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478884360 + ... + 479731902.

It is an arithmetic number, because the mean of its divisors is an integer number (18989867453440).

Almost surely, 2^{406234251272133} is an apocalyptic number.

It is an amenable number.

406234251272133 is a deficient number, since it is larger than the sum of its proper divisors (201441507237947).

406234251272133 is a wasteful number, since it uses less digits than its factorization.

406234251272133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020006 (or 1020000 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 406234251272133 in words is "four hundred six trillion, two hundred thirty-four billion, two hundred fifty-one million, two hundred seventy-two thousand, one hundred thirty-three".