4445101440 has 768 divisors, whose sum is σ = 18044208000. Its totient is φ = 999161856.

The previous prime is 4445101421. The next prime is 4445101459. The reversal of 4445101440 is 441015444.

4445101440 is a `hidden beast` number, since 4 + 4 + 4 + 510 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4445101421) and next prime (4445101459).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49944916 + ... + 49945004.

Almost surely, 2^4445101440 is an apocalyptic number.

4445101440 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 4445101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022104000).

4445101440 is an abundant number, since it is smaller than the sum of its proper divisors (13599106560).

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

4445101440 is a wasteful number, since it uses less digits than its factorization.

4445101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4445101440 is about 66671.5939512473. The cubic root of 4445101440 is about 1644.2223934139. Note that the first 3 decimals are identical.

Adding to 4445101440 its reverse (441015444), we get a palindrome (4886116884).

The spelling of 4445101440 in words is "four billion, four hundred forty-five million, one hundred one thousand, four hundred forty".