4076442720 has 384 divisors, whose sum is σ = 17017620480. Its totient is φ = 891095040.

The previous prime is 4076442709. The next prime is 4076442757. The reversal of 4076442720 is 272446704.

It is a happy number.

4076442720 is a `hidden beast` number, since 4 + 0 + 7 + 644 + 2 + 7 + 2 + 0 = 666.

4076442720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692590 + ... + 698450.

It is an arithmetic number, because the mean of its divisors is an integer number (44316720).

Almost surely, 2^4076442720 is an apocalyptic number.

4076442720 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 4076442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8508810240).

4076442720 is an abundant number, since it is smaller than the sum of its proper divisors (12941177760).

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

4076442720 is a wasteful number, since it uses less digits than its factorization.

4076442720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4076442720 is about 63847.0259291692. The cubic root of 4076442720 is about 1597.4494154011.

The spelling of 4076442720 in words is "four billion, seventy-six million, four hundred forty-two thousand, seven hundred twenty".