10253342400 has 336 divisors, whose sum is σ = 40471100160. Its totient is φ = 2220134400.

The previous prime is 10253342377. The next prime is 10253342401. The reversal of 10253342400 is 424335201.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×10253342400³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10253342401) 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, 630370 + ... + 646430.

Almost surely, 2^10253342400 is an apocalyptic number.

10253342400 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 10253342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235550080).

10253342400 is an abundant number, since it is smaller than the sum of its proper divisors (30217757760).

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

10253342400 is a wasteful number, since it uses less digits than its factorization.

10253342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16112 (or 16097 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 10253342400 its reverse (424335201), we get a palindrome (10677677601).

The spelling of 10253342400 in words is "ten billion, two hundred fifty-three million, three hundred forty-two thousand, four hundred".