10840746400 has 288 divisors, whose sum is σ = 31722969600. Its totient is φ = 3570969600.

The previous prime is 10840746379. The next prime is 10840746403. The reversal of 10840746400 is 464704801.

It is a super-2 number, since 2×10840746400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10840746403) 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, 3844191 + ... + 3847009.

It is an arithmetic number, because the mean of its divisors is an integer number (110149200).

Almost surely, 2^10840746400 is an apocalyptic number.

10840746400 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 10840746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861484800).

10840746400 is an abundant number, since it is smaller than the sum of its proper divisors (20882223200).

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

10840746400 is a wasteful number, since it uses less digits than its factorization.

10840746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 10840746400 in words is "ten billion, eight hundred forty million, seven hundred forty-six thousand, four hundred".