431005131040000 has 360 divisors, whose sum is σ = 1173557033288640. Its totient is φ = 156627609600000.

The previous prime is 431005131039943. The next prime is 431005131040019. The reversal of 431005131040000 is 40131500134.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2743761460 + ... + 2743918540.

It is an arithmetic number, because the mean of its divisors is an integer number (3259880648024).

Almost surely, 2^{431005131040000} is an apocalyptic number.

431005131040000 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 431005131040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586778516644320).

431005131040000 is an abundant number, since it is smaller than the sum of its proper divisors (742551902248640).

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

431005131040000 is a wasteful number, since it uses less digits than its factorization.

431005131040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158687 (or 158658 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 431005131040000 its reverse (40131500134), we get a palindrome (431045262540134).

The spelling of 431005131040000 in words is "four hundred thirty-one trillion, five billion, one hundred thirty-one million, forty thousand".