42002000224000 has 72 divisors (see below), whose sum is σ = 104632232887728. Its totient is φ = 16800800076800.

The previous prime is 42002000223983. The next prime is 42002000224049. The reversal of 42002000224000 is 42200020024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656249254 + ... + 656313253.

It is an arithmetic number, because the mean of its divisors is an integer number (1453225456774).

Almost surely, 2^{42002000224000} is an apocalyptic number.

42002000224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002000224000 is an abundant number, since it is smaller than the sum of its proper divisors (62630232663728).

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

42002000224000 is an equidigital number, since it uses as much as digits as its factorization.

42002000224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312562538 (or 1312562514 counting only the distinct ones).

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

Adding to 42002000224000 its reverse (42200020024), we get a palindrome (42044200244024).

The spelling of 42002000224000 in words is "forty-two trillion, two billion, two hundred twenty-four thousand".