4014112132320 has 96 divisors (see below), whose sum is σ = 12646964211840. Its totient is φ = 1070217331200.

The previous prime is 4014112132313. The next prime is 4014112132337. The reversal of 4014112132320 is 232312114104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4014112132320² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 1596651 + ... + 3252309.

It is an arithmetic number, because the mean of its divisors is an integer number (131739210540).

Almost surely, 2^{4014112132320} is an apocalyptic number.

4014112132320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014112132320 is an abundant number, since it is smaller than the sum of its proper divisors (8632852079520).

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

4014112132320 is a wasteful number, since it uses less digits than its factorization.

4014112132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660728 (or 1660720 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4014112132320 its reverse (232312114104), we get a palindrome (4246424246424).

The spelling of 4014112132320 in words is "four trillion, fourteen billion, one hundred twelve million, one hundred thirty-two thousand, three hundred twenty".