4078734720 has 128 divisors (see below), whose sum is σ = 13147596000. Its totient is φ = 1075396608.

The previous prime is 4078734719. The next prime is 4078734733. The reversal of 4078734720 is 274378704.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4078734720² = 33272153832266956800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158946 + ... + 182814.

Almost surely, 2^4078734720 is an apocalyptic number.

4078734720 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 4078734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573798000).

4078734720 is an abundant number, since it is smaller than the sum of its proper divisors (9068861280).

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

4078734720 is a wasteful number, since it uses less digits than its factorization.

4078734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23980 (or 23968 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The square root of 4078734720 is about 63864.9725592989. The cubic root of 4078734720 is about 1597.7487505748.

The spelling of 4078734720 in words is "four billion, seventy-eight million, seven hundred thirty-four thousand, seven hundred twenty".