10235325214400 has 1008 divisors, whose sum is σ = 31190402248992. Its totient is φ = 3257155584000.

The previous prime is 10235325214357. The next prime is 10235325214493. The reversal of 10235325214400 is 441252353201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12842314802 + ... + 12842315598.

It is an arithmetic number, because the mean of its divisors is an integer number (30942859374).

Almost surely, 2^{10235325214400} is an apocalyptic number.

10235325214400 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 10235325214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595201124496).

10235325214400 is an abundant number, since it is smaller than the sum of its proper divisors (20955077034592).

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

10235325214400 is a wasteful number, since it uses less digits than its factorization.

10235325214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 10235325214400 its reverse (441252353201), we get a palindrome (10676577567601).

The spelling of 10235325214400 in words is "ten trillion, two hundred thirty-five billion, three hundred twenty-five million, two hundred fourteen thousand, four hundred".