4251365256320 has 1024 divisors, whose sum is σ = 13413128601600. Its totient is φ = 1252520755200.

The previous prime is 4251365256277. The next prime is 4251365256329. The reversal of 4251365256320 is 236525631524.

It is not an unprimeable number, because it can be changed into a prime (4251365256329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5847819797 + ... + 5847820523.

It is an arithmetic number, because the mean of its divisors is an integer number (13098758400).

Almost surely, 2^{4251365256320} is an apocalyptic number.

4251365256320 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 4251365256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706564300800).

4251365256320 is an abundant number, since it is smaller than the sum of its proper divisors (9161763345280).

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

4251365256320 is a wasteful number, since it uses less digits than its factorization.

4251365256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 4251365256320 in words is "four trillion, two hundred fifty-one billion, three hundred sixty-five million, two hundred fifty-six thousand, three hundred twenty".