4445335440 has 720 divisors, whose sum is σ = 19625493888. Its totient is φ = 879869952.

The previous prime is 4445335429. The next prime is 4445335459. The reversal of 4445335440 is 445335444.

4445335440 is a `hidden beast` number, since 44 + 45 + 33 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4445335440² = 39522014348239987200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4445335395 and 4445335404.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14479767 + ... + 14480073.

Almost surely, 2^4445335440 is an apocalyptic number.

4445335440 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 4445335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812746944).

4445335440 is an abundant number, since it is smaller than the sum of its proper divisors (15180158448).

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

4445335440 is a wasteful number, since it uses less digits than its factorization.

4445335440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The square root of 4445335440 is about 66673.3487984517. The cubic root of 4445335440 is about 1644.2512447457.

The spelling of 4445335440 in words is "four billion, four hundred forty-five million, three hundred thirty-five thousand, four hundred forty".