13403662272 has 1176 divisors, whose sum is σ = 55828673712. Its totient is φ = 3135283200.

The previous prime is 13403662249. The next prime is 13403662273. The reversal of 13403662272 is 27226630431.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13403662273) 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 167 ways as a sum of consecutive naturals, for example, 326918572 + ... + 326918612.

It is an arithmetic number, because the mean of its divisors is an integer number (47473362).

Almost surely, 2^13403662272 is an apocalyptic number.

13403662272 is a gapful number since it is divisible by the number (12) 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 13403662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27914336856).

13403662272 is an abundant number, since it is smaller than the sum of its proper divisors (42425011440).

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

13403662272 is a wasteful number, since it uses less digits than its factorization.

13403662272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13403662272 in words is "thirteen billion, four hundred three million, six hundred sixty-two thousand, two hundred seventy-two".