414132100113024 has 128 divisors (see below), whose sum is σ = 1237354569504000. Its totient is φ = 138044033277696.

The previous prime is 414132100113023. The next prime is 414132100113089. The reversal of 414132100113024 is 420311001231414.

It is a happy number.

414132100113024 is a `hidden beast` number, since 4 + 1 + 413 + 210 + 0 + 1 + 1 + 30 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (414132100113023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739410744 + ... + 739970615.

It is an arithmetic number, because the mean of its divisors is an integer number (9666832574250).

Almost surely, 2^{414132100113024} is an apocalyptic number.

It is an amenable number.

414132100113024 is an abundant number, since it is smaller than the sum of its proper divisors (823222469390976).

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

414132100113024 is an frugal number, since it uses more digits than its factorization.

414132100113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479381394 (or 1479381364 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 414132100113024 its reverse (420311001231414), we get a palindrome (834443101344438).

The spelling of 414132100113024 in words is "four hundred fourteen trillion, one hundred thirty-two billion, one hundred million, one hundred thirteen thousand, twenty-four".