4920107940 has 384 divisors, whose sum is σ = 17273088000. Its totient is φ = 1152576000.

The previous prime is 4920107939. The next prime is 4920107957. The reversal of 4920107940 is 497010294.

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

It is a junction number, because it is equal to n+sod(n) for n = 4920107895 and 4920107904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35396391 + ... + 35396529.

It is an arithmetic number, because the mean of its divisors is an integer number (44982000).

Almost surely, 2^4920107940 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 4920107940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636544000).

4920107940 is an abundant number, since it is smaller than the sum of its proper divisors (12352980060).

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

4920107940 is a wasteful number, since it uses less digits than its factorization.

4920107940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

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

The square root of 4920107940 is about 70143.4810941117. The cubic root of 4920107940 is about 1700.8194365537.

The spelling of 4920107940 in words is "four billion, nine hundred twenty million, one hundred seven thousand, nine hundred forty".