4000737070740 has 96 divisors (see below), whose sum is σ = 11566850964480. Its totient is φ = 1032142003200.

The previous prime is 4000737070697. The next prime is 4000737070747. The reversal of 4000737070740 is 470707370004.

4000737070740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000737070747) 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, 5986200 + ... + 6620880.

It is an arithmetic number, because the mean of its divisors is an integer number (120488030880).

Almost surely, 2^{4000737070740} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000737070740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783425482240).

4000737070740 is an abundant number, since it is smaller than the sum of its proper divisors (7566113893740).

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

4000737070740 is a wasteful number, since it uses less digits than its factorization.

4000737070740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638113 (or 638111 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 39.

The spelling of 4000737070740 in words is "four trillion, seven hundred thirty-seven million, seventy thousand, seven hundred forty".