42002133140000 has 240 divisors, whose sum is σ = 114313048065216. Its totient is φ = 15058377600000.

The previous prime is 42002133139957. The next prime is 42002133140083. The reversal of 42002133140000 is 4133120024.

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 39 ways as a sum of consecutive naturals, for example, 14275502 + ... + 16964498.

Almost surely, 2^{42002133140000} is an apocalyptic number.

42002133140000 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 42002133140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57156524032608).

42002133140000 is an abundant number, since it is smaller than the sum of its proper divisors (72310914925216).

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

42002133140000 is a wasteful number, since it uses less digits than its factorization.

42002133140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689109 (or 2689086 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42002133140000 its reverse (4133120024), we get a palindrome (42006266260024).

The spelling of 42002133140000 in words is "forty-two trillion, two billion, one hundred thirty-three million, one hundred forty thousand".