10334822400 has 840 divisors, whose sum is σ = 44245895760. Its totient is φ = 2335703040.

The previous prime is 10334822371. The next prime is 10334822431. The reversal of 10334822400 is 422843301.

10334822400 is a `hidden beast` number, since 10 + 334 + 82 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116121556 + ... + 116121644.

Almost surely, 2^10334822400 is an apocalyptic number.

10334822400 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 10334822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22122947880).

10334822400 is an abundant number, since it is smaller than the sum of its proper divisors (33911073360).

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

10334822400 is an frugal number, since it uses more digits than its factorization.

10334822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 10334822400 in words is "ten billion, three hundred thirty-four million, eight hundred twenty-two thousand, four hundred".