13322400256440 has 320 divisors, whose sum is σ = 51722262171360. Its totient is φ = 3039691898880.

The previous prime is 13322400256427. The next prime is 13322400256441. The reversal of 13322400256440 is 4465200422331.

13322400256440 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 4 + 0 + 0 + 2 + 5 + 644 + 0 = 666.

It is a super-2 number, since 2×13322400256440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13322400256395 and 13322400256404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322400256441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10388377 + ... + 11600136.

Almost surely, 2^{13322400256440} is an apocalyptic number.

13322400256440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322400256440 is an abundant number, since it is smaller than the sum of its proper divisors (38399861914920).

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

13322400256440 is a wasteful number, since it uses less digits than its factorization.

13322400256440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21988564 (or 21988551 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13322400256440 its reverse (4465200422331), we get a palindrome (17787600678771).

The spelling of 13322400256440 in words is "thirteen trillion, three hundred twenty-two billion, four hundred million, two hundred fifty-six thousand, four hundred forty".