125464441410000 has 900 divisors, whose sum is σ = 551179059567136. Its totient is φ = 26070517440000.

The previous prime is 125464441409921. The next prime is 125464441410013. The reversal of 125464441410000 is 14144464521.

125464441410000 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 644 + 4 + 1 + 4 + 1 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 75407067 + ... + 77052933.

Almost surely, 2^{125464441410000} is an apocalyptic number.

125464441410000 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 125464441410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275589529783568).

125464441410000 is an abundant number, since it is smaller than the sum of its proper divisors (425714618157136).

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

125464441410000 is a wasteful number, since it uses less digits than its factorization.

125464441410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645930 (or 1645895 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 125464441410000 its reverse (14144464521), we get a palindrome (125478585874521).

The spelling of 125464441410000 in words is "one hundred twenty-five trillion, four hundred sixty-four billion, four hundred forty-one million, four hundred ten thousand".