10135434400 has 216 divisors, whose sum is σ = 30998445660. Its totient is φ = 3207536640.

The previous prime is 10135434389. The next prime is 10135434451. The reversal of 10135434400 is 443453101.

It can be written as a sum of positive squares in 6 ways, for example, as 4407366544 + 5728067856 = 66388^2 + 75684^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499656 + ... + 519544.

Almost surely, 2^10135434400 is an apocalyptic number.

10135434400 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 10135434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499222830).

10135434400 is an abundant number, since it is smaller than the sum of its proper divisors (20863011260).

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

10135434400 is a wasteful number, since it uses less digits than its factorization.

10135434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19936 (or 19916 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10135434400 its reverse (443453101), we get a palindrome (10578887501).

The spelling of 10135434400 in words is "ten billion, one hundred thirty-five million, four hundred thirty-four thousand, four hundred".