1431130401792 has 1408 divisors, whose sum is σ = 5493532262400. Its totient is φ = 357919948800.

The previous prime is 1431130401791. The next prime is 1431130401821. The reversal of 1431130401792 is 2971040311341.

It is a happy number.

1431130401792 is a `hidden beast` number, since 1 + 4 + 31 + 130 + 401 + 7 + 92 = 666.

It is a super-2 number, since 2×1431130401792² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1431130401791) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4601705317 + ... + 4601705627.

Almost surely, 2^{1431130401792} is an apocalyptic number.

1431130401792 is a gapful number since it is divisible by the number (12) 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 1431130401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746766131200).

1431130401792 is an abundant number, since it is smaller than the sum of its proper divisors (4062401860608).

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

1431130401792 is a wasteful number, since it uses less digits than its factorization.

1431130401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1431130401792 in words is "one trillion, four hundred thirty-one billion, one hundred thirty million, four hundred one thousand, seven hundred ninety-two".