4944139200 has 1260 divisors, whose sum is σ = 24084140808. Its totient is φ = 948326400.

The previous prime is 4944139181. The next prime is 4944139231. The reversal of 4944139200 is 29314494.

4944139200 is a `hidden beast` number, since 4 + 9 + 441 + 3 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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 179 ways as a sum of consecutive naturals, for example, 380318394 + ... + 380318406.

Almost surely, 2^4944139200 is an apocalyptic number.

4944139200 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 4944139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042070404).

4944139200 is an abundant number, since it is smaller than the sum of its proper divisors (19140001608).

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

4944139200 is a wasteful number, since it uses less digits than its factorization.

4944139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4944139200 is about 70314.5731694362. The cubic root of 4944139200 is about 1703.5840418278.

The spelling of 4944139200 in words is "four billion, nine hundred forty-four million, one hundred thirty-nine thousand, two hundred".