4002120240 has 40 divisors (see below), whose sum is σ = 12406573488. Its totient is φ = 1067232000.

The previous prime is 4002120211. The next prime is 4002120257. The reversal of 4002120240 is 420212004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8337511 + ... + 8337990.

Almost surely, 2^4002120240 is an apocalyptic number.

4002120240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002120240 is an abundant number, since it is smaller than the sum of its proper divisors (8404453248).

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

4002120240 is a wasteful number, since it uses less digits than its factorization.

4002120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16675517 (or 16675511 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4002120240 is about 63262.3129517093. The cubic root of 4002120240 is about 1587.6814750276.

Adding to 4002120240 its reverse (420212004), we get a palindrome (4422332244).

The spelling of 4002120240 in words is "four billion, two million, one hundred twenty thousand, two hundred forty".