1444141406340 has 72 divisors (see below), whose sum is σ = 4498955861400. Its totient is φ = 374696146944.

The previous prime is 1444141406333. The next prime is 1444141406363. The reversal of 1444141406340 is 436041414441.

1444141406340 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 4 + 14 + 0 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304068427776 + 1140072978564 = 551424^2 + 1067742^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1444141406295 and 1444141406304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108412365 + ... + 108425684.

It is an arithmetic number, because the mean of its divisors is an integer number (62485498075).

Almost surely, 2^{1444141406340} is an apocalyptic number.

1444141406340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444141406340 is an abundant number, since it is smaller than the sum of its proper divisors (3054814455060).

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

1444141406340 is a wasteful number, since it uses less digits than its factorization.

1444141406340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216838101 (or 216838096 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1444141406340 in words is "one trillion, four hundred forty-four billion, one hundred forty-one million, four hundred six thousand, three hundred forty".