1444820931840 has 1152 divisors, whose sum is σ = 5558203348992. Its totient is φ = 315255029760.

The previous prime is 1444820931821. The next prime is 1444820931857. The reversal of 1444820931840 is 481390284441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1444820931840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6364849807 + ... + 6364850033.

It is an arithmetic number, because the mean of its divisors is an integer number (4824829296).

Almost surely, 2^{1444820931840} is an apocalyptic number.

1444820931840 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 1444820931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779101674496).

1444820931840 is an abundant number, since it is smaller than the sum of its proper divisors (4113382417152).

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

1444820931840 is a wasteful number, since it uses less digits than its factorization.

1444820931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 1444820931840 in words is "one trillion, four hundred forty-four billion, eight hundred twenty million, nine hundred thirty-one thousand, eight hundred forty".