42242042000 has 80 divisors (see below), whose sum is σ = 108149653872. Its totient is φ = 15902873600.

The previous prime is 42242041991. The next prime is 42242042021. The reversal of 42242042000 is 24024224.

It can be written as a sum of positive squares in 8 ways, for example, as 13256298496 + 28985743504 = 115136^2 + 170252^2 .

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

It is a super-2 number, since 2×42242042000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 587207 + ... + 655206.

Almost surely, 2^42242042000 is an apocalyptic number.

42242042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242042000 is an abundant number, since it is smaller than the sum of its proper divisors (65907611872).

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

42242042000 is a wasteful number, since it uses less digits than its factorization.

42242042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242453 (or 1242437 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42242042000 its reverse (24024224), we get a palindrome (42266066224).

The spelling of 42242042000 in words is "forty-two billion, two hundred forty-two million, forty-two thousand".