10344836040 has 256 divisors, whose sum is σ = 40375480320. Its totient is φ = 2056074240.

The previous prime is 10344835999. The next prime is 10344836093. The reversal of 10344836040 is 4063844301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10344835992 and 10344836010.

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, 188182 + ... + 236858.

It is an arithmetic number, because the mean of its divisors is an integer number (157716720).

Almost surely, 2^10344836040 is an apocalyptic number.

10344836040 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 10344836040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20187740160).

10344836040 is an abundant number, since it is smaller than the sum of its proper divisors (30030644280).

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

10344836040 is a wasteful number, since it uses less digits than its factorization.

10344836040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48732 (or 48728 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 10344836040 in words is "ten billion, three hundred forty-four million, eight hundred thirty-six thousand, forty".