4042752000 has 512 divisors, whose sum is σ = 15703234560. Its totient is φ = 904396800.

The previous prime is 4042751981. The next prime is 4042752013. The reversal of 4042752000 is 2572404.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86015977 + ... + 86016023.

It is an arithmetic number, because the mean of its divisors is an integer number (30670380).

Almost surely, 2^4042752000 is an apocalyptic number.

4042752000 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 4042752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851617280).

4042752000 is an abundant number, since it is smaller than the sum of its proper divisors (11660482560).

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

4042752000 is an frugal number, since it uses more digits than its factorization.

4042752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4042752000 is about 63582.6391399413. The cubic root of 4042752000 is about 1593.0364033359.

The spelling of 4042752000 in words is "four billion, forty-two million, seven hundred fifty-two thousand".