42040002000 has 80 divisors (see below), whose sum is σ = 135536985792. Its totient is φ = 11210665600.

The previous prime is 42040001957. The next prime is 42040002031. The reversal of 42040002000 is 20004024.

It is a tau number, because it is divible by the number of its divisors (80).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3497334 + ... + 3509333.

Almost surely, 2^42040002000 is an apocalyptic number.

42040002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42040002000 is an abundant number, since it is smaller than the sum of its proper divisors (93496983792).

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

42040002000 is a wasteful number, since it uses less digits than its factorization.

42040002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006693 (or 7006677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 42040002000 its reverse (20004024), we get a palindrome (42060006024).

The spelling of 42040002000 in words is "forty-two billion, forty million, two thousand", and thus it is an eban number.