1444407455040 has 224 divisors, whose sum is σ = 5004097159680. Its totient is φ = 350075750400.

The previous prime is 1444407455033. The next prime is 1444407455041. The reversal of 1444407455040 is 405547044441.

It is a junction number, because it is equal to n+sod(n) for n = 1444407454983 and 1444407455001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444407455041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52057491 + ... + 52085229.

Almost surely, 2^{1444407455040} is an apocalyptic number.

1444407455040 is a gapful number since it is divisible by the number (10) 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 1444407455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502048579840).

1444407455040 is an abundant number, since it is smaller than the sum of its proper divisors (3559689704640).

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

1444407455040 is a wasteful number, since it uses less digits than its factorization.

1444407455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32701 (or 32691 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 42.

The spelling of 1444407455040 in words is "one trillion, four hundred forty-four billion, four hundred seven million, four hundred fifty-five thousand, forty".