42253524480000 has 1040 divisors, whose sum is σ = 155556271259136. Its totient is φ = 10143006720000.

The previous prime is 42253524479981. The next prime is 42253524480067. The reversal of 42253524480000 is 8442535224.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3002872965 + ... + 3002887035.

Almost surely, 2^{42253524480000} is an apocalyptic number.

42253524480000 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 42253524480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77778135629568).

42253524480000 is an abundant number, since it is smaller than the sum of its proper divisors (113302746779136).

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

42253524480000 is a wasteful number, since it uses less digits than its factorization.

42253524480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14158 (or 14121 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 42253524480000 in words is "forty-two trillion, two hundred fifty-three billion, five hundred twenty-four million, four hundred eighty thousand".