4259551121280 has 4608 divisors, whose sum is σ = 21047833497600. Its totient is φ = 812665405440.

The previous prime is 4259551121279. The next prime is 4259551121333. The reversal of 4259551121280 is 821211559524.

4259551121280 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 5 + 511 + 2 + 128 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 58350015324 + ... + 58350015396.

It is an arithmetic number, because the mean of its divisors is an integer number (4567672200).

Almost surely, 2^{4259551121280} is an apocalyptic number.

4259551121280 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 4259551121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523916748800).

4259551121280 is an abundant number, since it is smaller than the sum of its proper divisors (16788282376320).

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

4259551121280 is a wasteful number, since it uses less digits than its factorization.

4259551121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 4259551121280 in words is "four trillion, two hundred fifty-nine billion, five hundred fifty-one million, one hundred twenty-one thousand, two hundred eighty".