4172893848000 has 1120 divisors, whose sum is σ = 17206707735360. Its totient is φ = 992142950400.

The previous prime is 4172893847989. The next prime is 4172893848047. The reversal of 4172893848000 is 8483982714.

It is a happy number.

4172893848000 is a `hidden beast` number, since 4 + 1 + 72 + 8 + 93 + 8 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 209294032 + ... + 209313968.

Almost surely, 2^{4172893848000} is an apocalyptic number.

4172893848000 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 4172893848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8603353867680).

4172893848000 is an abundant number, since it is smaller than the sum of its proper divisors (13033813887360).

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

4172893848000 is a wasteful number, since it uses less digits than its factorization.

4172893848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20012 (or 19983 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4172893848000 in words is "four trillion, one hundred seventy-two billion, eight hundred ninety-three million, eight hundred forty-eight thousand".