10225213442400 has 144 divisors (see below), whose sum is σ = 36308803462848. Its totient is φ = 2478839616000.

The previous prime is 10225213442369. The next prime is 10225213442417. The reversal of 10225213442400 is 424431252201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193632946 + ... + 193685745.

It is an arithmetic number, because the mean of its divisors is an integer number (252144468492).

Almost surely, 2^{10225213442400} is an apocalyptic number.

10225213442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225213442400 is an abundant number, since it is smaller than the sum of its proper divisors (26083590020448).

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

10225213442400 is a wasteful number, since it uses less digits than its factorization.

10225213442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387318725 (or 387318712 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10225213442400 its reverse (424431252201), we get a palindrome (10649644694601).

The spelling of 10225213442400 in words is "ten trillion, two hundred twenty-five billion, two hundred thirteen million, four hundred forty-two thousand, four hundred".