4892742177120 has 1152 divisors, whose sum is σ = 20744357437440. Its totient is φ = 1024789708800.

The previous prime is 4892742177101. The next prime is 4892742177143. The reversal of 4892742177120 is 217712472984.

It is a happy number.

4892742177120 is a `hidden beast` number, since 4 + 8 + 9 + 27 + 421 + 77 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 988230645 + ... + 988235595.

It is an arithmetic number, because the mean of its divisors is an integer number (18007254720).

Almost surely, 2^{4892742177120} is an apocalyptic number.

4892742177120 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 4892742177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10372178718720).

4892742177120 is an abundant number, since it is smaller than the sum of its proper divisors (15851615260320).

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

4892742177120 is a wasteful number, since it uses less digits than its factorization.

4892742177120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 4892742177120 in words is "four trillion, eight hundred ninety-two billion, seven hundred forty-two million, one hundred seventy-seven thousand, one hundred twenty".