10235004254400 has 336 divisors, whose sum is σ = 33906948878880. Its totient is φ = 2702735769600.

The previous prime is 10235004254393. The next prime is 10235004254437. The reversal of 10235004254400 is 445240053201.

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, 1120166632 + ... + 1120175768.

It is an arithmetic number, because the mean of its divisors is an integer number (100913538330).

Almost surely, 2^{10235004254400} is an apocalyptic number.

10235004254400 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 10235004254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953474439440).

10235004254400 is an abundant number, since it is smaller than the sum of its proper divisors (23671944624480).

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

10235004254400 is a wasteful number, since it uses less digits than its factorization.

10235004254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11412 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 10235004254400 in words is "ten trillion, two hundred thirty-five billion, four million, two hundred fifty-four thousand, four hundred".