4445037527040 has 1152 divisors, whose sum is σ = 17693520042240. Its totient is φ = 1049414860800.

The previous prime is 4445037527033. The next prime is 4445037527093. The reversal of 4445037527040 is 407257305444.

4445037527040 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 0 + 375 + 270 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7980318442 + ... + 7980318998.

It is an arithmetic number, because the mean of its divisors is an integer number (15358958370).

Almost surely, 2^{4445037527040} is an apocalyptic number.

4445037527040 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 4445037527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846760021120).

4445037527040 is an abundant number, since it is smaller than the sum of its proper divisors (13248482515200).

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

4445037527040 is an equidigital number, since it uses as much as digits as its factorization.

4445037527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 4445037527040 in words is "four trillion, four hundred forty-five billion, thirty-seven million, five hundred twenty-seven thousand, forty".