13342946400 has 1152 divisors, whose sum is σ = 60746112000. Its totient is φ = 2755952640.

The previous prime is 13342946381. The next prime is 13342946413. The reversal of 13342946400 is 464924331.

It is a happy number.

13342946400 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 9 + 4 + 640 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74541511 + ... + 74541689.

It is an arithmetic number, because the mean of its divisors is an integer number (52731000).

Almost surely, 2^13342946400 is an apocalyptic number.

13342946400 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 13342946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30373056000).

13342946400 is an abundant number, since it is smaller than the sum of its proper divisors (47403165600).

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

13342946400 is a wasteful number, since it uses less digits than its factorization.

13342946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13342946400 in words is "thirteen billion, three hundred forty-two million, nine hundred forty-six thousand, four hundred".