10234152350400 has 336 divisors, whose sum is σ = 36634578951168. Its totient is φ = 2480626176000.

The previous prime is 10234152350369. The next prime is 10234152350437. The reversal of 10234152350400 is 405325143201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510090769 + ... + 510110831.

Almost surely, 2^{10234152350400} is an apocalyptic number.

10234152350400 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 10234152350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317289475584).

10234152350400 is an abundant number, since it is smaller than the sum of its proper divisors (26400426600768).

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

10234152350400 is a wasteful number, since it uses less digits than its factorization.

10234152350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29760 (or 29745 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10234152350400 its reverse (405325143201), we get a palindrome (10639477493601).

The spelling of 10234152350400 in words is "ten trillion, two hundred thirty-four billion, one hundred fifty-two million, three hundred fifty thousand, four hundred".