3141541625400 has 576 divisors, whose sum is σ = 11248342560000. Its totient is φ = 783026196480.

The previous prime is 3141541625371. The next prime is 3141541625401. The reversal of 3141541625400 is 45261451413.

3141541625400 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 54 + 1 + 62 + 540 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141541625401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4321239837 + ... + 4321240563.

It is an arithmetic number, because the mean of its divisors is an integer number (19528372500).

Almost surely, 2^{3141541625400} is an apocalyptic number.

3141541625400 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 3141541625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624171280000).

3141541625400 is an abundant number, since it is smaller than the sum of its proper divisors (8106800934600).

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

3141541625400 is a wasteful number, since it uses less digits than its factorization.

3141541625400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 3141541625400 in words is "three trillion, one hundred forty-one billion, five hundred forty-one million, six hundred twenty-five thousand, four hundred".