1444168661292 has 240 divisors, whose sum is σ = 4381032015360. Its totient is φ = 406319079168.

The previous prime is 1444168661281. The next prime is 1444168661293. The reversal of 1444168661292 is 2921668614441.

1444168661292 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 16 + 8 + 6 + 612 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1444168661293) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41797848 + ... + 41832384.

It is an arithmetic number, because the mean of its divisors is an integer number (18254300064).

Almost surely, 2^{1444168661292} is an apocalyptic number.

1444168661292 is a gapful number since it is divisible by the number (12) 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 1444168661292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190516007680).

1444168661292 is an abundant number, since it is smaller than the sum of its proper divisors (2936863354068).

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

1444168661292 is a wasteful number, since it uses less digits than its factorization.

1444168661292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34842 (or 34831 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 1444168661292 in words is "one trillion, four hundred forty-four billion, one hundred sixty-eight million, six hundred sixty-one thousand, two hundred ninety-two".