13402313784 has 160 divisors (see below), whose sum is σ = 39674448000. Its totient is φ = 4215198528.

The previous prime is 13402313767. The next prime is 13402313807. The reversal of 13402313784 is 48731320431.

13402313784 is a `hidden beast` number, since 1 + 340 + 231 + 3 + 7 + 84 = 666.

13402313784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3235987 + ... + 3240125.

It is an arithmetic number, because the mean of its divisors is an integer number (247965300).

Almost surely, 2^13402313784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13402313784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837224000).

13402313784 is an abundant number, since it is smaller than the sum of its proper divisors (26272134216).

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

13402313784 is a wasteful number, since it uses less digits than its factorization.

13402313784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13402313784 in words is "thirteen billion, four hundred two million, three hundred thirteen thousand, seven hundred eighty-four".