406245431344431 has 16 divisors (see below), whose sum is σ = 620040722988800. Its totient is φ = 231765221844288.

The previous prime is 406245431344399. The next prime is 406245431344471. The reversal of 406245431344431 is 134443134542604.

It is a happy number.

It is not a de Polignac number, because 406245431344431 - 2⁵ = 406245431344399 is a prime.

It is a super-2 number, since 2×406245431344431² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406245431344471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15626013286 + ... + 15626039283.

It is an arithmetic number, because the mean of its divisors is an integer number (38752545186800).

Almost surely, 2^{406245431344431} is an apocalyptic number.

406245431344431 is a deficient number, since it is larger than the sum of its proper divisors (213795291644369).

406245431344431 is a wasteful number, since it uses less digits than its factorization.

406245431344431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31252053198.

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 406245431344431 in words is "four hundred six trillion, two hundred forty-five billion, four hundred thirty-one million, three hundred forty-four thousand, four hundred thirty-one".