1401343182720 has 640 divisors, whose sum is σ = 5422896087840. Its totient is φ = 342802907136.

The previous prime is 1401343182661. The next prime is 1401343182731. The reversal of 1401343182720 is 272813431041.

1401343182720 is a `hidden beast` number, since 1 + 40 + 1 + 34 + 318 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109842582 + ... + 109855338.

Almost surely, 2^{1401343182720} is an apocalyptic number.

1401343182720 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 1401343182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711448043920).

1401343182720 is an abundant number, since it is smaller than the sum of its proper divisors (4021552905120).

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

1401343182720 is a wasteful number, since it uses less digits than its factorization.

1401343182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12964 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1401343182720 in words is "one trillion, four hundred one billion, three hundred forty-three million, one hundred eighty-two thousand, seven hundred twenty".