455903182042880 has 576 divisors, whose sum is σ = 1318591127605248. Its totient is φ = 148820053524480.

The previous prime is 455903182042801. The next prime is 455903182042907. The reversal of 455903182042880 is 88240281309554.

It is a super-2 number, since 2×455903182042880² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350483389 + ... + 1350820931.

It is an arithmetic number, because the mean of its divisors is an integer number (2289220707648).

Almost surely, 2^{455903182042880} is an apocalyptic number.

455903182042880 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 455903182042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659295563802624).

455903182042880 is an abundant number, since it is smaller than the sum of its proper divisors (862687945562368).

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

455903182042880 is a wasteful number, since it uses less digits than its factorization.

455903182042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337792 (or 337778 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 59.

The spelling of 455903182042880 in words is "four hundred fifty-five trillion, nine hundred three billion, one hundred eighty-two million, forty-two thousand, eight hundred eighty".