125268350221440 has 448 divisors, whose sum is σ = 449080663069440. Its totient is φ = 33398823757824.

The previous prime is 125268350221409. The next prime is 125268350221481. The reversal of 125268350221440 is 44122053862521.

125268350221440 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 6 + 83 + 502 + 21 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2950037649 + ... + 2950080111.

Almost surely, 2^{125268350221440} is an apocalyptic number.

125268350221440 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 125268350221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224540331534720).

125268350221440 is an abundant number, since it is smaller than the sum of its proper divisors (323812312848000).

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

125268350221440 is an frugal number, since it uses more digits than its factorization.

125268350221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48823 (or 48796 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 125268350221440 in words is "one hundred twenty-five trillion, two hundred sixty-eight billion, three hundred fifty million, two hundred twenty-one thousand, four hundred forty".