10514342400 has 240 divisors, whose sum is σ = 35090307648. Its totient is φ = 2775040000.

The previous prime is 10514342357. The next prime is 10514342437. The reversal of 10514342400 is 424341501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10514342400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3877045 + ... + 3879755.

Almost surely, 2^10514342400 is an apocalyptic number.

10514342400 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 10514342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545153824).

10514342400 is an abundant number, since it is smaller than the sum of its proper divisors (24575965248).

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

10514342400 is a wasteful number, since it uses less digits than its factorization.

10514342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10514342400 its reverse (424341501), we get a palindrome (10938683901).

The spelling of 10514342400 in words is "ten billion, five hundred fourteen million, three hundred forty-two thousand, four hundred".