4072981320 has 128 divisors (see below), whose sum is σ = 13744512000. Its totient is φ = 1086105024.

The previous prime is 4072981307. The next prime is 4072981327. The reversal of 4072981320 is 231892704.

4072981320 is a `hidden beast` number, since 40 + 7 + 298 + 1 + 320 = 666.

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 (4072981327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64201 + ... + 110759.

It is an arithmetic number, because the mean of its divisors is an integer number (107379000).

Almost surely, 2^4072981320 is an apocalyptic number.

4072981320 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 4072981320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6872256000).

4072981320 is an abundant number, since it is smaller than the sum of its proper divisors (9671530680).

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

4072981320 is an equidigital number, since it uses as much as digits as its factorization.

4072981320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46591 (or 46569 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4072981320 is about 63819.9131932973. The cubic root of 4072981320 is about 1596.9971438517.

The spelling of 4072981320 in words is "four billion, seventy-two million, nine hundred eighty-one thousand, three hundred twenty".