431623321050240 has 384 divisors, whose sum is σ = 1669889129238720. Its totient is φ = 101807957237760.

The previous prime is 431623321050211. The next prime is 431623321050263. The reversal of 431623321050240 is 42050123326134.

431623321050240 is a `hidden beast` number, since 4 + 3 + 1 + 62 + 33 + 21 + 0 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 431623321050195 and 431623321050204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89712934 + ... + 94401573.

Almost surely, 2^{431623321050240} is an apocalyptic number.

431623321050240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431623321050240 is an abundant number, since it is smaller than the sum of its proper divisors (1238265808188480).

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

431623321050240 is a wasteful number, since it uses less digits than its factorization.

431623321050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184114580 (or 184114565 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 431623321050240 its reverse (42050123326134), we get a palindrome (473673444376374).

The spelling of 431623321050240 in words is "four hundred thirty-one trillion, six hundred twenty-three billion, three hundred twenty-one million, fifty thousand, two hundred forty".