1944845114940 has 864 divisors, whose sum is σ = 7751206794240. Its totient is φ = 385150132224.

The previous prime is 1944845114899. The next prime is 1944845114951. The reversal of 1944845114940 is 494115484491.

1944845114940 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 8 + 451 + 149 + 40 = 666.

It is a super-2 number, since 2×1944845114940² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2631725091 + ... + 2631725829.

It is an arithmetic number, because the mean of its divisors is an integer number (8971304160).

Almost surely, 2^{1944845114940} is an apocalyptic number.

1944845114940 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 1944845114940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875603397120).

1944845114940 is an abundant number, since it is smaller than the sum of its proper divisors (5806361679300).

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

1944845114940 is a wasteful number, since it uses less digits than its factorization.

1944845114940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1944845114940 in words is "one trillion, nine hundred forty-four billion, eight hundred forty-five million, one hundred fourteen thousand, nine hundred forty".