13352704205940 has 1536 divisors, whose sum is σ = 50472206991360. Its totient is φ = 2896058880000.

The previous prime is 13352704205923. The next prime is 13352704205947. The reversal of 13352704205940 is 4950240725331.

It is a happy number.

13352704205940 is a `hidden beast` number, since 1 + 3 + 3 + 52 + 7 + 0 + 4 + 2 + 0 + 594 + 0 = 666.

It is a super-2 number, since 2×13352704205940² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13352704205947) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 22747366327 + ... + 22747366913.

It is an arithmetic number, because the mean of its divisors is an integer number (32859509760).

Almost surely, 2^{13352704205940} is an apocalyptic number.

13352704205940 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 13352704205940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25236103495680).

13352704205940 is an abundant number, since it is smaller than the sum of its proper divisors (37119502785420).

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

13352704205940 is a wasteful number, since it uses less digits than its factorization.

13352704205940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13352704205940 in words is "thirteen trillion, three hundred fifty-two billion, seven hundred four million, two hundred five thousand, nine hundred forty".