431046132000 has 384 divisors, whose sum is σ = 1546095672576. Its totient is φ = 104115200000.

The previous prime is 431046131987. The next prime is 431046132001. The reversal of 431046132000 is 231640134.

It is a super-2 number, since 2×431046132000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (431046132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37086190 + ... + 37097810.

It is an arithmetic number, because the mean of its divisors is an integer number (4026290814).

Almost surely, 2^431046132000 is an apocalyptic number.

431046132000 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 431046132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773047836288).

431046132000 is an abundant number, since it is smaller than the sum of its proper divisors (1115049540576).

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

431046132000 is a wasteful number, since it uses less digits than its factorization.

431046132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11941 (or 11923 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 431046132000 its reverse (231640134), we get a palindrome (431277772134).

The spelling of 431046132000 in words is "four hundred thirty-one billion, forty-six million, one hundred thirty-two thousand".