4992129024 has 96 divisors (see below), whose sum is σ = 13888143360. Its totient is φ = 1591648256.

The previous prime is 4992128987. The next prime is 4992129061. The reversal of 4992129024 is 4209212994.

It is a Cunningham number, because it is equal to 70655²-1.

It is an interprime number because it is at equal distance from previous prime (4992128987) and next prime (4992129061).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123649 + ... + 158975.

It is an arithmetic number, because the mean of its divisors is an integer number (144668160).

Almost surely, 2^4992129024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4992129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944071680).

4992129024 is an abundant number, since it is smaller than the sum of its proper divisors (8896014336).

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

4992129024 is a wasteful number, since it uses less digits than its factorization.

4992129024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35375 (or 35355 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4992129024 is about 70654.9999929234. Note that the first 5 decimals coincide. The cubic root of 4992129024 is about 1709.0781967915.

The spelling of 4992129024 in words is "four billion, nine hundred ninety-two million, one hundred twenty-nine thousand, twenty-four".