4142476800 has 720 divisors, whose sum is σ = 18522421632. Its totient is φ = 858931200.

The previous prime is 4142476799. The next prime is 4142476813. The reversal of 4142476800 is 86742414.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4142476800² = 34320228077076480000, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8870167 + ... + 8870633.

Almost surely, 2^4142476800 is an apocalyptic number.

4142476800 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 4142476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261210816).

4142476800 is an abundant number, since it is smaller than the sum of its proper divisors (14379944832).

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

4142476800 is a wasteful number, since it uses less digits than its factorization.

4142476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4142476800 is about 64362.0757900178. The cubic root of 4142476800 is about 1606.0289207050.

The spelling of 4142476800 in words is "four billion, one hundred forty-two million, four hundred seventy-six thousand, eight hundred".