4445400960 has 1024 divisors, whose sum is σ = 21221222400. Its totient is φ = 849346560.

The previous prime is 4445400943. The next prime is 4445400977. The reversal of 4445400960 is 690045444.

It is an interprime number because it is at equal distance from previous prime (4445400943) and next prime (4445400977).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17297152 + ... + 17297408.

It is an arithmetic number, because the mean of its divisors is an integer number (20723850).

Almost surely, 2^4445400960 is an apocalyptic number.

4445400960 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 4445400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10610611200).

4445400960 is an abundant number, since it is smaller than the sum of its proper divisors (16775821440).

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

4445400960 is a wasteful number, since it uses less digits than its factorization.

4445400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4445400960 is about 66673.8401473921. The cubic root of 4445400960 is about 1644.2593229371.

The spelling of 4445400960 in words is "four billion, four hundred forty-five million, four hundred thousand, nine hundred sixty".