43131642933120 has 192 divisors, whose sum is σ = 159928171275600. Its totient is φ = 9858661220352.

The previous prime is 43131642933019. The next prime is 43131642933121. The reversal of 43131642933120 is 2133924613134.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×43131642933120² (a number of 28 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 not an unprimeable number, because it can be changed into a prime (43131642933121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229134465 + ... + 229322624.

Almost surely, 2^{43131642933120} is an apocalyptic number.

43131642933120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43131642933120 is an abundant number, since it is smaller than the sum of its proper divisors (116796528342480).

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

43131642933120 is a wasteful number, since it uses less digits than its factorization.

43131642933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458457125 (or 458457106 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 43131642933120 in words is "forty-three trillion, one hundred thirty-one billion, six hundred forty-two million, nine hundred thirty-three thousand, one hundred twenty".