4945007923200 has 624 divisors, whose sum is σ = 18196019487360. Its totient is φ = 1316498964480.

The previous prime is 4945007923069. The next prime is 4945007923213. The reversal of 4945007923200 is 23297005494.

4945007923200 is a `hidden beast` number, since 49 + 4 + 500 + 79 + 2 + 32 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2369432557 + ... + 2369434643.

It is an arithmetic number, because the mean of its divisors is an integer number (29160287640).

Almost surely, 2^{4945007923200} is an apocalyptic number.

4945007923200 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 4945007923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9098009743680).

4945007923200 is an abundant number, since it is smaller than the sum of its proper divisors (13251011564160).

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

4945007923200 is a wasteful number, since it uses less digits than its factorization.

4945007923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4945007923200 in words is "four trillion, nine hundred forty-five billion, seven million, nine hundred twenty-three thousand, two hundred".