4949484033120 has 1152 divisors, whose sum is σ = 18021496356864. Its totient is φ = 1140023808000.

The previous prime is 4949484033101. The next prime is 4949484033127. The reversal of 4949484033120 is 213304849494.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4949484033127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18263778585 + ... + 18263778855.

It is an arithmetic number, because the mean of its divisors is an integer number (15643660032).

Almost surely, 2^{4949484033120} is an apocalyptic number.

4949484033120 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 4949484033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010748178432).

4949484033120 is an abundant number, since it is smaller than the sum of its proper divisors (13072012323744).

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

4949484033120 is a wasteful number, since it uses less digits than its factorization.

4949484033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 4949484033120 in words is "four trillion, nine hundred forty-nine billion, four hundred eighty-four million, thirty-three thousand, one hundred twenty".