1401331140792 has 1536 divisors, whose sum is σ = 5098231756800. Its totient is φ = 341596569600.

The previous prime is 1401331140779. The next prime is 1401331140793. The reversal of 1401331140792 is 2970411331041.

It is a happy number.

1401331140792 is a `hidden beast` number, since 140 + 13 + 3 + 11 + 407 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401331140793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8925675978 + ... + 8925676134.

It is an arithmetic number, because the mean of its divisors is an integer number (3319161300).

Almost surely, 2^{1401331140792} is an apocalyptic number.

1401331140792 is a gapful number since it is divisible by the number (12) 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 1401331140792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549115878400).

1401331140792 is an abundant number, since it is smaller than the sum of its proper divisors (3696900616008).

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

1401331140792 is a wasteful number, since it uses less digits than its factorization.

1401331140792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1401331140792 in words is "one trillion, four hundred one billion, three hundred thirty-one million, one hundred forty thousand, seven hundred ninety-two".