431314779060 has 216 divisors, whose sum is σ = 1462931372448. Its totient is φ = 102010099200.

The previous prime is 431314779031. The next prime is 431314779061. The reversal of 431314779060 is 60977413134.

431314779060 is a `hidden beast` number, since 4 + 3 + 1 + 31 + 477 + 90 + 60 = 666.

It is a super-2 number, since 2×431314779060² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 431314778997 and 431314779015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431314779061) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3263587 + ... + 3393173.

It is an arithmetic number, because the mean of its divisors is an integer number (6772830428).

Almost surely, 2^431314779060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431314779060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731465686224).

431314779060 is an abundant number, since it is smaller than the sum of its proper divisors (1031616593388).

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

431314779060 is a wasteful number, since it uses less digits than its factorization.

431314779060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129695 (or 129649 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 431314779060 in words is "four hundred thirty-one billion, three hundred fourteen million, seven hundred seventy-nine thousand, sixty".