4945481798400 has 972 divisors, whose sum is σ = 20930084475664. Its totient is φ = 1106660966400.

The previous prime is 4945481798377. The next prime is 4945481798401. The reversal of 4945481798400 is 48971845494.

4945481798400 is a `hidden beast` number, since 4 + 9 + 4 + 5 + 481 + 79 + 84 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4945481798401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 90577509 + ... + 90632091.

Almost surely, 2^{4945481798400} is an apocalyptic number.

4945481798400 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 4945481798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465042237832).

4945481798400 is an abundant number, since it is smaller than the sum of its proper divisors (15984602677264).

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

4945481798400 is a wasteful number, since it uses less digits than its factorization.

4945481798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54650 (or 54617 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 4945481798400 in words is "four trillion, nine hundred forty-five billion, four hundred eighty-one million, seven hundred ninety-eight thousand, four hundred".