4979142000 has 480 divisors, whose sum is σ = 20359173120. Its totient is φ = 1110412800.

The previous prime is 4979141989. The next prime is 4979142001. The reversal of 4979142000 is 2419794.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4979142001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5417541 + ... + 5418459.

It is an arithmetic number, because the mean of its divisors is an integer number (42414944).

Almost surely, 2^4979142000 is an apocalyptic number.

4979142000 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 4979142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179586560).

4979142000 is an abundant number, since it is smaller than the sum of its proper divisors (15380031120).

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

4979142000 is a wasteful number, since it uses less digits than its factorization.

4979142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4979142000 is about 70563.0356489855. The cubic root of 4979142000 is about 1707.5948540592.

The spelling of 4979142000 in words is "four billion, nine hundred seventy-nine million, one hundred forty-two thousand".