431275256412 has 192 divisors, whose sum is σ = 1351814897664. Its totient is φ = 103350101760.

The previous prime is 431275256389. The next prime is 431275256473. The reversal of 431275256412 is 214652572134.

It is a happy number.

It is a super-2 number, since 2×431275256412² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26934913 + ... + 26950919.

It is an arithmetic number, because the mean of its divisors is an integer number (7040702592).

Almost surely, 2^431275256412 is an apocalyptic number.

431275256412 is a gapful number since it is divisible by the number (42) 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 431275256412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675907448832).

431275256412 is an abundant number, since it is smaller than the sum of its proper divisors (920539641252).

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

431275256412 is a wasteful number, since it uses less digits than its factorization.

431275256412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18288 (or 18286 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The spelling of 431275256412 in words is "four hundred thirty-one billion, two hundred seventy-five million, two hundred fifty-six thousand, four hundred twelve".