13028917440 has 448 divisors, whose sum is σ = 52786483200. Its totient is φ = 2643701760.

The previous prime is 13028917403. The next prime is 13028917463. The reversal of 13028917440 is 4471982031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×13028917440⁴ (a number of 42 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3176511 + ... + 3180609.

Almost surely, 2^13028917440 is an apocalyptic number.

13028917440 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 13028917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26393241600).

13028917440 is an abundant number, since it is smaller than the sum of its proper divisors (39757565760).

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

13028917440 is a wasteful number, since it uses less digits than its factorization.

13028917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 13028917440 in words is "thirteen billion, twenty-eight million, nine hundred seventeen thousand, four hundred forty".