40042042000 has 40 divisors (see below), whose sum is σ = 96821662392. Its totient is φ = 16016816000.

The previous prime is 40042041959. The next prime is 40042042037. The reversal of 40042042000 is 24024004.

It can be written as a sum of positive squares in 4 ways, for example, as 495151504 + 39546890496 = 22252^2 + 198864^2 .

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

It is a super-3 number, since 3×40042042000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10008511 + ... + 10012510.

Almost surely, 2^40042042000 is an apocalyptic number.

40042042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40042042000 is an abundant number, since it is smaller than the sum of its proper divisors (56779620392).

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

40042042000 is a wasteful number, since it uses less digits than its factorization.

40042042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021044 (or 20021028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40042042000 its reverse (24024004), we get a palindrome (40066066004).

The spelling of 40042042000 in words is "forty billion, forty-two million, forty-two thousand", and thus it is an eban number.