42252145104000 has 512 divisors, whose sum is σ = 150881978257920. Its totient is φ = 10397644800000.

The previous prime is 42252145103941. The next prime is 42252145104067. The reversal of 42252145104000 is 40154125224.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3039497050 + ... + 3039510950.

It is an arithmetic number, because the mean of its divisors is an integer number (294691363785).

Almost surely, 2^{42252145104000} is an apocalyptic number.

42252145104000 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 42252145104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75440989128960).

42252145104000 is an abundant number, since it is smaller than the sum of its proper divisors (108629833153920).

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

42252145104000 is a wasteful number, since it uses less digits than its factorization.

42252145104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18817 (or 18795 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 42252145104000 its reverse (40154125224), we get a palindrome (42292299229224).

The spelling of 42252145104000 in words is "forty-two trillion, two hundred fifty-two billion, one hundred forty-five million, one hundred four thousand".