4892901120 has 288 divisors, whose sum is σ = 17927024640. Its totient is φ = 1262407680.

The previous prime is 4892901107. The next prime is 4892901133. The reversal of 4892901120 is 211092984.

It is an interprime number because it is at equal distance from previous prime (4892901107) and next prime (4892901133).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069077 + ... + 1073643.

Almost surely, 2^4892901120 is an apocalyptic number.

4892901120 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 4892901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963512320).

4892901120 is an abundant number, since it is smaller than the sum of its proper divisors (13034123520).

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

4892901120 is a wasteful number, since it uses less digits than its factorization.

4892901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4892901120 is about 69949.2753357746. The cubic root of 4892901120 is about 1697.6786216427.

The spelling of 4892901120 in words is "four billion, eight hundred ninety-two million, nine hundred one thousand, one hundred twenty".