10483741440 has 288 divisors, whose sum is σ = 37341427200. Its totient is φ = 2785259520.

The previous prime is 10483741421. The next prime is 10483741517. The reversal of 10483741440 is 4414738401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×10483741440³ (a number of 31 digits) contains 333 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 = 10483741395 and 10483741404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15171495 + ... + 15172185.

Almost surely, 2^10483741440 is an apocalyptic number.

10483741440 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 10483741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18670713600).

10483741440 is an abundant number, since it is smaller than the sum of its proper divisors (26857685760).

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

10483741440 is an equidigital number, since it uses as much as digits as its factorization.

10483741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10483741440 in words is "ten billion, four hundred eighty-three million, seven hundred forty-one thousand, four hundred forty".