4932420595200 has 1620 divisors, whose sum is σ = 21286635804720. Its totient is φ = 1087486525440.

The previous prime is 4932420595199. The next prime is 4932420595243. The reversal of 4932420595200 is 25950242394.

4932420595200 is a `hidden beast` number, since 4 + 9 + 32 + 4 + 2 + 0 + 595 + 20 + 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 161 ways as a sum of consecutive naturals, for example, 4747276281 + ... + 4747277319.

Almost surely, 2^{4932420595200} is an apocalyptic number.

4932420595200 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 4932420595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10643317902360).

4932420595200 is an abundant number, since it is smaller than the sum of its proper divisors (16354215209520).

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

4932420595200 is a wasteful number, since it uses less digits than its factorization.

4932420595200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 4932420595200 in words is "four trillion, nine hundred thirty-two billion, four hundred twenty million, five hundred ninety-five thousand, two hundred".