4128754862100 has 144 divisors (see below), whose sum is σ = 13349702189376. Its totient is φ = 976497792000.

The previous prime is 4128754862027. The next prime is 4128754862123. The reversal of 4128754862100 is 12684578214.

It is a happy number.

It is a super-4 number, since 4×4128754862100⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4128754862100.

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 47 ways as a sum of consecutive naturals, for example, 15122479 + ... + 15393078.

It is an arithmetic number, because the mean of its divisors is an integer number (92706265204).

Almost surely, 2^{4128754862100} is an apocalyptic number.

It is an amenable number.

4128754862100 is an abundant number, since it is smaller than the sum of its proper divisors (9220947327276).

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

4128754862100 is a wasteful number, since it uses less digits than its factorization.

4128754862100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30515626 (or 30515619 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 4128754862100 in words is "four trillion, one hundred twenty-eight billion, seven hundred fifty-four million, eight hundred sixty-two thousand, one hundred".