3125141376000 has 704 divisors, whose sum is σ = 12397234636800. Its totient is φ = 683247206400.

The previous prime is 3125141375989. The next prime is 3125141376013. The reversal of 3125141376000 is 6731415213.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61798726 + ... + 61849274.

Almost surely, 2^{3125141376000} is an apocalyptic number.

3125141376000 is a gapful number since it is divisible by the number (30) 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 3125141376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198617318400).

3125141376000 is an abundant number, since it is smaller than the sum of its proper divisors (9272093260800).

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

3125141376000 is a wasteful number, since it uses less digits than its factorization.

3125141376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50617 (or 50589 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 3125141376000 in words is "three trillion, one hundred twenty-five billion, one hundred forty-one million, three hundred seventy-six thousand".