10355234400 has 720 divisors, whose sum is σ = 44396595936. Its totient is φ = 2299207680.

The previous prime is 10355234381. The next prime is 10355234411. The reversal of 10355234400 is 443255301.

10355234400 is a `hidden beast` number, since 103 + 552 + 3 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×10355234400³ (a number of 31 digits) contains 333 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16782892 + ... + 16783508.

Almost surely, 2^10355234400 is an apocalyptic number.

10355234400 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 10355234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22198297968).

10355234400 is an abundant number, since it is smaller than the sum of its proper divisors (34041361536).

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

10355234400 is a wasteful number, since it uses less digits than its factorization.

10355234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10355234400 its reverse (443255301), we get a palindrome (10798489701).

The spelling of 10355234400 in words is "ten billion, three hundred fifty-five million, two hundred thirty-four thousand, four hundred".