4792227541200 has 540 divisors, whose sum is σ = 18746471693664. Its totient is φ = 1124267328000.

The previous prime is 4792227541181. The next prime is 4792227541207. The reversal of 4792227541200 is 21457222974.

4792227541200 is a `hidden beast` number, since 4 + 7 + 9 + 2 + 227 + 5 + 412 + 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 not an unprimeable number, because it can be changed into a prime (4792227541207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 37992637 + ... + 38118563.

Almost surely, 2^{4792227541200} is an apocalyptic number.

4792227541200 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 4792227541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373235846832).

4792227541200 is an abundant number, since it is smaller than the sum of its proper divisors (13954244152464).

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

4792227541200 is a wasteful number, since it uses less digits than its factorization.

4792227541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126024 (or 125979 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 4792227541200 in words is "four trillion, seven hundred ninety-two billion, two hundred twenty-seven million, five hundred forty-one thousand, two hundred".