4007334040 has 64 divisors (see below), whose sum is σ = 9394652160. Its totient is φ = 1536677760.

The previous prime is 4007334031. The next prime is 4007334041. The reversal of 4007334040 is 404337004.

4007334040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4007334040² = 32117452216285443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4007333996 and 4007334014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007334041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117579 + ... + 147781.

It is an arithmetic number, because the mean of its divisors is an integer number (146791440).

Almost surely, 2^4007334040 is an apocalyptic number.

4007334040 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 4007334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697326080).

4007334040 is an abundant number, since it is smaller than the sum of its proper divisors (5387318120).

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

4007334040 is a wasteful number, since it uses less digits than its factorization.

4007334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30352 (or 30348 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 4007334040 is about 63303.5073277935. The cubic root of 4007334040 is about 1588.3706315324.

The spelling of 4007334040 in words is "four billion, seven million, three hundred thirty-four thousand, forty".