431017136640 has 120 divisors (see below), whose sum is σ = 1492733647548. Its totient is φ = 114937896960.

The previous prime is 431017136603. The next prime is 431017136657. The reversal of 431017136640 is 46631710134.

431017136640 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 1 + 7 + 1 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 421211384064 + 9805752576 = 649008^2 + 99024^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 431017136595 and 431017136604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9330631 + ... + 9376710.

Almost surely, 2^431017136640 is an apocalyptic number.

431017136640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431017136640 is an abundant number, since it is smaller than the sum of its proper divisors (1061716510908).

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

431017136640 is a wasteful number, since it uses less digits than its factorization.

431017136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18707370 (or 18707351 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 431017136640 its reverse (46631710134), we get a palindrome (477648846774).

The spelling of 431017136640 in words is "four hundred thirty-one billion, seventeen million, one hundred thirty-six thousand, six hundred forty".