13402213330240 has 336 divisors, whose sum is σ = 39092559742080. Its totient is φ = 4351622123520.

The previous prime is 13402213330229. The next prime is 13402213330249. The reversal of 13402213330240 is 4203331220431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13402213330199 and 13402213330208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402213330249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047778245 + ... + 1047791035.

Almost surely, 2^{13402213330240} is an apocalyptic number.

13402213330240 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 13402213330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19546279871040).

13402213330240 is an abundant number, since it is smaller than the sum of its proper divisors (25690346411840).

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

13402213330240 is a wasteful number, since it uses less digits than its factorization.

13402213330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16358 (or 16341 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13402213330240 its reverse (4203331220431), we get a palindrome (17605544550671).

The spelling of 13402213330240 in words is "thirteen trillion, four hundred two billion, two hundred thirteen million, three hundred thirty thousand, two hundred forty".