431141145521000 has 64 divisors (see below), whose sum is σ = 1008922284049680. Its totient is φ = 172447568716800.

The previous prime is 431141145520999. The next prime is 431141145521113. The reversal of 431141145521000 is 125541141134.

It can be written as a sum of positive squares in 8 ways, for example, as 16579213210564 + 414561932310436 = 4071758^2 + 20360794^2 .

It is a super-2 number, since 2×431141145521000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8314844 + ... + 30519156.

Almost surely, 2^{431141145521000} is an apocalyptic number.

431141145521000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431141145521000 is an abundant number, since it is smaller than the sum of its proper divisors (577781138528680).

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

431141145521000 is a wasteful number, since it uses less digits than its factorization.

431141145521000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22223751 (or 22223737 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 431141145521000 its reverse (125541141134), we get a palindrome (431266686662134).

The spelling of 431141145521000 in words is "four hundred thirty-one trillion, one hundred forty-one billion, one hundred forty-five million, five hundred twenty-one thousand".