13364829940 has 144 divisors (see below), whose sum is σ = 36211222656. Its totient is φ = 4052885760.

The previous prime is 13364829937. The next prime is 13364829943. The reversal of 13364829940 is 4992846331.

It is an interprime number because it is at equal distance from previous prime (13364829937) and next prime (13364829943).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364829943) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 616119 + ... + 637441.

It is an arithmetic number, because the mean of its divisors is an integer number (251466824).

Almost surely, 2^13364829940 is an apocalyptic number.

13364829940 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 13364829940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105611328).

13364829940 is an abundant number, since it is smaller than the sum of its proper divisors (22846392716).

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

13364829940 is a wasteful number, since it uses less digits than its factorization.

13364829940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21398 (or 21385 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 13364829940 in words is "thirteen billion, three hundred sixty-four million, eight hundred twenty-nine thousand, nine hundred forty".