42253133312544 has 288 divisors, whose sum is σ = 139885749577728. Its totient is φ = 10931110080000.

The previous prime is 42253133312503. The next prime is 42253133312581. The reversal of 42253133312544 is 44521333135224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42253133312496 and 42253133312505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19374169 + ... + 21444455.

It is an arithmetic number, because the mean of its divisors is an integer number (485714408256).

Almost surely, 2^{42253133312544} is an apocalyptic number.

42253133312544 is a gapful number since it is divisible by the number (44) 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 42253133312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69942874788864).

42253133312544 is an abundant number, since it is smaller than the sum of its proper divisors (97632616265184).

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

42253133312544 is a wasteful number, since it uses less digits than its factorization.

42253133312544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070580 (or 2070561 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

Adding to 42253133312544 its reverse (44521333135224), we get a palindrome (86774466447768).

The spelling of 42253133312544 in words is "forty-two trillion, two hundred fifty-three billion, one hundred thirty-three million, three hundred twelve thousand, five hundred forty-four".