4014738720 has 144 divisors (see below), whose sum is σ = 13743317952. Its totient is φ = 1067235840.

The previous prime is 4014738719. The next prime is 4014738727. The reversal of 4014738720 is 278374104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4014738720² = 32236253979734476800, which contains 22 as substring.

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 (4014738727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472429 + ... + 480851.

It is an arithmetic number, because the mean of its divisors is an integer number (95439708).

Almost surely, 2^4014738720 is an apocalyptic number.

4014738720 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 4014738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871658976).

4014738720 is an abundant number, since it is smaller than the sum of its proper divisors (9728579232).

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

4014738720 is a wasteful number, since it uses less digits than its factorization.

4014738720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8775 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4014738720 is about 63361.9658785931. The cubic root of 4014738720 is about 1589.3483505017.

The spelling of 4014738720 in words is "four billion, fourteen million, seven hundred thirty-eight thousand, seven hundred twenty".