4132889768400 has 120 divisors (see below), whose sum is σ = 13240052493120. Its totient is φ = 1102018283520.

The previous prime is 4132889768389. The next prime is 4132889768417. The reversal of 4132889768400 is 48679882314.

It is a happy number.

It is a Cunningham number, because it is equal to 2032951²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16136541 + ... + 16390659.

It is an arithmetic number, because the mean of its divisors is an integer number (110333770776).

Almost surely, 2^{4132889768400} is an apocalyptic number.

4132889768400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132889768400 is an abundant number, since it is smaller than the sum of its proper divisors (9107162724720).

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

4132889768400 is a wasteful number, since it uses less digits than its factorization.

4132889768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267693 (or 267682 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 4132889768400 in words is "four trillion, one hundred thirty-two billion, eight hundred eighty-nine million, seven hundred sixty-eight thousand, four hundred".