4446405949440 has 1152 divisors, whose sum is σ = 18759843648000. Its totient is φ = 888692539392.

The previous prime is 4446405949417. The next prime is 4446405949507. The reversal of 4446405949440 is 449495046444.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 371798181 + ... + 371810139.

It is an arithmetic number, because the mean of its divisors is an integer number (16284586500).

Almost surely, 2^{4446405949440} is an apocalyptic number.

4446405949440 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 4446405949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9379921824000).

4446405949440 is an abundant number, since it is smaller than the sum of its proper divisors (14313437698560).

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

4446405949440 is a wasteful number, since it uses less digits than its factorization.

4446405949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12035 (or 12008 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 4446405949440 in words is "four trillion, four hundred forty-six billion, four hundred five million, nine hundred forty-nine thousand, four hundred forty".