23225314000410 has 448 divisors, whose sum is σ = 67464129139200. Its totient is φ = 5735646775296.

The previous prime is 23225314000337. The next prime is 23225314000439. The reversal of 23225314000410 is 1400041352232.

23225314000410 is a `hidden beast` number, since 2 + 3 + 2 + 253 + 1 + 400 + 0 + 4 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7219555122 + ... + 7219558338.

Almost surely, 2^{23225314000410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23225314000410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33732064569600).

23225314000410 is an abundant number, since it is smaller than the sum of its proper divisors (44238815138790).

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

23225314000410 is a wasteful number, since it uses less digits than its factorization.

23225314000410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23225314000410 its reverse (1400041352232), we get a palindrome (24625355352642).

The spelling of 23225314000410 in words is "twenty-three trillion, two hundred twenty-five billion, three hundred fourteen million, four hundred ten", and thus it is an aban number.