4128003475200 has 1296 divisors, whose sum is σ = 17515533100800. Its totient is φ = 947966976000.

The previous prime is 4128003475199. The next prime is 4128003475201. The reversal of 4128003475200 is 25743008214.

It is a happy number.

4128003475200 is a `hidden beast` number, since 4 + 12 + 80 + 0 + 3 + 47 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4128003475199) and next prime (4128003475201).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128003475201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 397262005 + ... + 397272395.

Almost surely, 2^{4128003475200} is an apocalyptic number.

4128003475200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4128003475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8757766550400).

4128003475200 is an abundant number, since it is smaller than the sum of its proper divisors (13387529625600).

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

4128003475200 is a wasteful number, since it uses less digits than its factorization.

4128003475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10467 (or 10431 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4128003475200 in words is "four trillion, one hundred twenty-eight billion, three million, four hundred seventy-five thousand, two hundred".