4000738440 has 32 divisors (see below), whose sum is σ = 12002215680. Its totient is φ = 1066863552.

The previous prime is 4000738429. The next prime is 4000738451. The reversal of 4000738440 is 448370004.

It is an interprime number because it is at equal distance from previous prime (4000738429) and next prime (4000738451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4000738398 and 4000738407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16669624 + ... + 16669863.

It is an arithmetic number, because the mean of its divisors is an integer number (375069240).

Almost surely, 2^4000738440 is an apocalyptic number.

4000738440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000738440 is an abundant number, since it is smaller than the sum of its proper divisors (8001477240).

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

4000738440 is a wasteful number, since it uses less digits than its factorization.

4000738440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33339501 (or 33339497 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4000738440 is about 63251.3908147481. The cubic root of 4000738440 is about 1587.4987293271.

The spelling of 4000738440 in words is "four billion, seven hundred thirty-eight thousand, four hundred forty".