42002000040 has 256 divisors, whose sum is σ = 169183365120. Its totient is φ = 8056304640.

The previous prime is 42002000009. The next prime is 42002000059. The reversal of 42002000040 is 4000020024.

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 63 ways as a sum of consecutive naturals, for example, 54714 + ... + 294953.

It is an arithmetic number, because the mean of its divisors is an integer number (660872520).

Almost surely, 2^42002000040 is an apocalyptic number.

42002000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42002000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84591682560).

42002000040 is an abundant number, since it is smaller than the sum of its proper divisors (127181365080).

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

42002000040 is a wasteful number, since it uses less digits than its factorization.

42002000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349712 (or 349708 counting only the distinct ones).

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

Adding to 42002000040 its reverse (4000020024), we get a palindrome (46002020064).

The spelling of 42002000040 in words is "forty-two billion, two million, forty", and thus it is an aban number, an eban number, and an uban number.