4037648440 has 64 divisors (see below), whose sum is σ = 10401566400. Its totient is φ = 1381797888.

The previous prime is 4037648437. The next prime is 4037648441. The reversal of 4037648440 is 448467304.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4037648393 and 4037648402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4037648441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143016 + ... + 168904.

It is an arithmetic number, because the mean of its divisors is an integer number (162524475).

Almost surely, 2^4037648440 is an apocalyptic number.

4037648440 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 4037648440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200783200).

4037648440 is an abundant number, since it is smaller than the sum of its proper divisors (6363917960).

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

4037648440 is a wasteful number, since it uses less digits than its factorization.

4037648440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26464 (or 26460 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The square root of 4037648440 is about 63542.4931836956. The cubic root of 4037648440 is about 1592.3657726672.

The spelling of 4037648440 in words is "four billion, thirty-seven million, six hundred forty-eight thousand, four hundred forty".