13732190472840 has 192 divisors, whose sum is σ = 47928274257600. Its totient is φ = 3138410967552.

The previous prime is 13732190472773. The next prime is 13732190472841. The reversal of 13732190472840 is 4827409123731.

It is a super-3 number, since 3×13732190472840³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13732190472841) 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, 50591406 + ... + 50862114.

It is an arithmetic number, because the mean of its divisors is an integer number (249626428425).

Almost surely, 2^{13732190472840} is an apocalyptic number.

13732190472840 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 13732190472840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964137128800).

13732190472840 is an abundant number, since it is smaller than the sum of its proper divisors (34196083784760).

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

13732190472840 is a wasteful number, since it uses less digits than its factorization.

13732190472840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279364 (or 279353 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 13732190472840 in words is "thirteen trillion, seven hundred thirty-two billion, one hundred ninety million, four hundred seventy-two thousand, eight hundred forty".