4037398560 has 768 divisors, whose sum is σ = 16409433600. Its totient is φ = 919683072.

The previous prime is 4037398529. The next prime is 4037398567. The reversal of 4037398560 is 658937304.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4037398567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60259647 + ... + 60259713.

It is an arithmetic number, because the mean of its divisors is an integer number (21366450).

Almost surely, 2^4037398560 is an apocalyptic number.

4037398560 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 4037398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204716800).

4037398560 is an abundant number, since it is smaller than the sum of its proper divisors (12372035040).

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

4037398560 is a wasteful number, since it uses less digits than its factorization.

4037398560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4037398560 is about 63540.5269099966. The cubic root of 4037398560 is about 1592.3329228064.

The spelling of 4037398560 in words is "four billion, thirty-seven million, three hundred ninety-eight thousand, five hundred sixty".