4049701920 has 576 divisors, whose sum is σ = 16583688576. Its totient is φ = 922337280.

The previous prime is 4049701913. The next prime is 4049701927. The reversal of 4049701920 is 291079404.

It is an interprime number because it is at equal distance from previous prime (4049701913) and next prime (4049701927).

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

It is not an unprimeable number, because it can be changed into a prime (4049701927) 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, 7270282 + ... + 7270838.

It is an arithmetic number, because the mean of its divisors is an integer number (28791126).

Almost surely, 2^4049701920 is an apocalyptic number.

4049701920 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 4049701920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291844288).

4049701920 is an abundant number, since it is smaller than the sum of its proper divisors (12533986656).

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

4049701920 is a wasteful number, since it uses less digits than its factorization.

4049701920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 595 counting only the distinct ones).

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

The square root of 4049701920 is about 63637.2683260367. The cubic root of 4049701920 is about 1593.9487469791.

The spelling of 4049701920 in words is "four billion, forty-nine million, seven hundred one thousand, nine hundred twenty".