42254501520000 has 2560 divisors, whose sum is σ = 184679203737600. Its totient is φ = 8296611840000.

The previous prime is 42254501519987. The next prime is 42254501520053. The reversal of 42254501520000 is 2510545224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42254501520000.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 37828559442 + ... + 37828560558.

It is an arithmetic number, because the mean of its divisors is an integer number (72140313960).

Almost surely, 2^{42254501520000} is an apocalyptic number.

42254501520000 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 42254501520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92339601868800).

42254501520000 is an abundant number, since it is smaller than the sum of its proper divisors (142424702217600).

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

42254501520000 is a wasteful number, since it uses less digits than its factorization.

42254501520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 42254501520000 in words is "forty-two trillion, two hundred fifty-four billion, five hundred one million, five hundred twenty thousand".