4128900145920 has 216 divisors, whose sum is σ = 15584252563152. Its totient is φ = 1000945459200.

The previous prime is 4128900145891. The next prime is 4128900145921. The reversal of 4128900145920 is 295410098214.

It is a happy number.

4128900145920 is a `hidden beast` number, since 41 + 2 + 8 + 9 + 0 + 0 + 14 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4128900145921) 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, 16164711 + ... + 16418150.

It is an arithmetic number, because the mean of its divisors is an integer number (72149317422).

Almost surely, 2^{4128900145920} is an apocalyptic number.

4128900145920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4128900145920 is an abundant number, since it is smaller than the sum of its proper divisors (11455352417232).

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

4128900145920 is a wasteful number, since it uses less digits than its factorization.

4128900145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32582899 (or 32582882 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 4128900145920 in words is "four trillion, one hundred twenty-eight billion, nine hundred million, one hundred forty-five thousand, nine hundred twenty".