431261662435560 has 320 divisors, whose sum is σ = 1581323987073600. Its totient is φ = 104546217369600.

The previous prime is 431261662435559. The next prime is 431261662435573. The reversal of 431261662435560 is 65534266162134.

431261662435560 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 6 + 1 + 6 + 624 + 3 + 5 + 5 + 6 + 0 = 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 = 431261662435497 and 431261662435506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2596611720 + ... + 2596777800.

It is an arithmetic number, because the mean of its divisors is an integer number (4941637459605).

Almost surely, 2^{431261662435560} is an apocalyptic number.

431261662435560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431261662435560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790661993536800).

431261662435560 is an abundant number, since it is smaller than the sum of its proper divisors (1150062324638040).

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

431261662435560 is a wasteful number, since it uses less digits than its factorization.

431261662435560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238974 (or 238961 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 431261662435560 in words is "four hundred thirty-one trillion, two hundred sixty-one billion, six hundred sixty-two million, four hundred thirty-five thousand, five hundred sixty".