1401006347216 has 80 divisors (see below), whose sum is σ = 3203581624320. Its totient is φ = 580830030720.

The previous prime is 1401006347203. The next prime is 1401006347227. The reversal of 1401006347216 is 6127436001041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8735945 + ... + 8894871.

It is an arithmetic number, because the mean of its divisors is an integer number (40044770304).

Almost surely, 2^{1401006347216} is an apocalyptic number.

1401006347216 is a gapful number since it is divisible by the number (16) 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 1401006347216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601790812160).

1401006347216 is an abundant number, since it is smaller than the sum of its proper divisors (1802575277104).

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

1401006347216 is a wasteful number, since it uses less digits than its factorization.

1401006347216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161512 (or 161506 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 1401006347216 in words is "one trillion, four hundred one billion, six million, three hundred forty-seven thousand, two hundred sixteen".