4954198813200 has 1440 divisors, whose sum is σ = 23379354625536. Its totient is φ = 940996362240.

The previous prime is 4954198813159. The next prime is 4954198813229. The reversal of 4954198813200 is 23188914594.

It is a happy number.

4954198813200 is a `hidden beast` number, since 4 + 9 + 5 + 419 + 8 + 8 + 13 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 128072262 + ... + 128110938.

Almost surely, 2^{4954198813200} is an apocalyptic number.

4954198813200 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 4954198813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11689677312768).

4954198813200 is an abundant number, since it is smaller than the sum of its proper divisors (18425155812336).

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

4954198813200 is a wasteful number, since it uses less digits than its factorization.

4954198813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38761 (or 38747 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 4954198813200 in words is "four trillion, nine hundred fifty-four billion, one hundred ninety-eight million, eight hundred thirteen thousand, two hundred".