1400384329344 has 1280 divisors, whose sum is σ = 5692880793600. Its totient is φ = 329921372160.

The previous prime is 1400384329343. The next prime is 1400384329427. The reversal of 1400384329344 is 4439234830041.

1400384329344 is a `hidden beast` number, since 140 + 0 + 38 + 432 + 9 + 3 + 44 = 666.

It is a super-2 number, since 2×1400384329344² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1400384329344.

It is not an unprimeable number, because it can be changed into a prime (1400384329343) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 612322569 + ... + 612324855.

It is an arithmetic number, because the mean of its divisors is an integer number (4447563120).

Almost surely, 2^{1400384329344} is an apocalyptic number.

1400384329344 is a gapful number since it is divisible by the number (14) 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 1400384329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846440396800).

1400384329344 is an abundant number, since it is smaller than the sum of its proper divisors (4292496464256).

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

1400384329344 is a wasteful number, since it uses less digits than its factorization.

1400384329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 1400384329344 in words is "one trillion, four hundred billion, three hundred eighty-four million, three hundred twenty-nine thousand, three hundred forty-four".