10812439440 has 640 divisors, whose sum is σ = 43840051200. Its totient is φ = 2421135360.

The previous prime is 10812439411. The next prime is 10812439453. The reversal of 10812439440 is 4493421801.

It is a happy number.

10812439440 is a `hidden beast` number, since 108 + 124 + 394 + 40 = 666.

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 = 10812439395 and 10812439404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19411642 + ... + 19412198.

It is an arithmetic number, because the mean of its divisors is an integer number (68500080).

Almost surely, 2^10812439440 is an apocalyptic number.

10812439440 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 10812439440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920025600).

10812439440 is an abundant number, since it is smaller than the sum of its proper divisors (33027611760).

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

10812439440 is a wasteful number, since it uses less digits than its factorization.

10812439440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10812439440 in words is "ten billion, eight hundred twelve million, four hundred thirty-nine thousand, four hundred forty".