4449609782640 has 2560 divisors, whose sum is σ = 19623886848000. Its totient is φ = 912118579200.

The previous prime is 4449609782603. The next prime is 4449609782693. The reversal of 4449609782640 is 462879069444.

4449609782640 is a `hidden beast` number, since 4 + 4 + 496 + 0 + 9 + 7 + 82 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 14036623762 + ... + 14036624078.

It is an arithmetic number, because the mean of its divisors is an integer number (7665580800).

Almost surely, 2^{4449609782640} is an apocalyptic number.

4449609782640 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 4449609782640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811943424000).

4449609782640 is an abundant number, since it is smaller than the sum of its proper divisors (15174277065360).

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

4449609782640 is a wasteful number, since it uses less digits than its factorization.

4449609782640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4449609782640 in words is "four trillion, four hundred forty-nine billion, six hundred nine million, seven hundred eighty-two thousand, six hundred forty".