6002000040 has 64 divisors (see below), whose sum is σ = 18113880960. Its totient is φ = 1590944000.

The previous prime is 6002000027. The next prime is 6002000057. The reversal of 6002000040 is 400002006.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129711 + ... + 169790.

It is an arithmetic number, because the mean of its divisors is an integer number (283029390).

Almost surely, 2^6002000040 is an apocalyptic number.

6002000040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6002000040 is an abundant number, since it is smaller than the sum of its proper divisors (12111880920).

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

6002000040 is a wasteful number, since it uses less digits than its factorization.

6002000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299682 (or 299678 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6002000040 is about 77472.5760511421. The cubic root of 6002000040 is about 1817.3224767279.

Adding to 6002000040 its reverse (400002006), we get a palindrome (6402002046).

The spelling of 6002000040 in words is "six billion, two million, forty", and thus it is an aban number, an eban number, and an uban number.