2455419132800 has 384 divisors, whose sum is σ = 6546815262720. Its totient is φ = 907315200000.

The previous prime is 2455419132797. The next prime is 2455419132839. The reversal of 2455419132800 is 82319145542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1713480884 + ... + 1713482316.

It is an arithmetic number, because the mean of its divisors is an integer number (17048998080).

Almost surely, 2^{2455419132800} is an apocalyptic number.

2455419132800 is a gapful number since it is divisible by the number (20) 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 2455419132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273407631360).

2455419132800 is an abundant number, since it is smaller than the sum of its proper divisors (4091396129920).

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

2455419132800 is a wasteful number, since it uses less digits than its factorization.

2455419132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 2455419132800 in words is "two trillion, four hundred fifty-five billion, four hundred nineteen million, one hundred thirty-two thousand, eight hundred".