4042588500000 has 420 divisors, whose sum is σ = 14861384264034. Its totient is φ = 1078012800000.

The previous prime is 4042588499899. The next prime is 4042588500031. The reversal of 4042588500000 is 58852404.

It can be written as a sum of positive squares in 7 ways, for example, as 1815605333136 + 2226983166864 = 1347444^2 + 1492308^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 40450092 + ... + 40549908.

Almost surely, 2^{4042588500000} is an apocalyptic number.

4042588500000 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 4042588500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430692132017).

4042588500000 is an abundant number, since it is smaller than the sum of its proper divisors (10818795764034).

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

4042588500000 is an frugal number, since it uses more digits than its factorization.

4042588500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99869 (or 99827 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 4042588500000 in words is "four trillion, forty-two billion, five hundred eighty-eight million, five hundred thousand".