1401116344320 has 1440 divisors, whose sum is σ = 5783533830144. Its totient is φ = 283398635520.

The previous prime is 1401116344307. The next prime is 1401116344351. The reversal of 1401116344320 is 234436111041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11032412097 + ... + 11032412223.

Almost surely, 2^{1401116344320} is an apocalyptic number.

1401116344320 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 1401116344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891766915072).

1401116344320 is an abundant number, since it is smaller than the sum of its proper divisors (4382417485824).

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

1401116344320 is a wasteful number, since it uses less digits than its factorization.

1401116344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 1401116344320 in words is "one trillion, four hundred one billion, one hundred sixteen million, three hundred forty-four thousand, three hundred twenty".