3971254210560 has 2912 divisors, whose sum is σ = 18289420477440. Its totient is φ = 804925734912.

The previous prime is 3971254210549. The next prime is 3971254210601. The reversal of 3971254210560 is 650124521793.

3971254210560 is a `hidden beast` number, since 3 + 9 + 7 + 12 + 54 + 21 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 50269040601 + ... + 50269040679.

Almost surely, 2^{3971254210560} is an apocalyptic number.

3971254210560 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 3971254210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144710238720).

3971254210560 is an abundant number, since it is smaller than the sum of its proper divisors (14318166266880).

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

3971254210560 is an equidigital number, since it uses as much as digits as its factorization.

3971254210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 3971254 and 210560, that added together give a palindrome (4181814).

The spelling of 3971254210560 in words is "three trillion, nine hundred seventy-one billion, two hundred fifty-four million, two hundred ten thousand, five hundred sixty".