4255521417840 has 640 divisors, whose sum is σ = 16552697702400. Its totient is φ = 878615838720.

The previous prime is 4255521417817. The next prime is 4255521417869. The reversal of 4255521417840 is 487141255524.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4255521417840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3508261074 + ... + 3508262286.

It is an arithmetic number, because the mean of its divisors is an integer number (25863590160).

Almost surely, 2^{4255521417840} is an apocalyptic number.

4255521417840 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 4255521417840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276348851200).

4255521417840 is an abundant number, since it is smaller than the sum of its proper divisors (12297176284560).

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

4255521417840 is a wasteful number, since it uses less digits than its factorization.

4255521417840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 48.

The spelling of 4255521417840 in words is "four trillion, two hundred fifty-five billion, five hundred twenty-one million, four hundred seventeen thousand, eight hundred forty".