3991522245120 has 480 divisors, whose sum is σ = 14451763277952. Its totient is φ = 1016224382976.

The previous prime is 3991522245107. The next prime is 3991522245121. The reversal of 3991522245120 is 215422251993.

3991522245120 is a `hidden beast` number, since 3 + 9 + 9 + 152 + 22 + 451 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (3991522245121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295158679 + ... + 295172201.

Almost surely, 2^{3991522245120} is an apocalyptic number.

3991522245120 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 3991522245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225881638976).

3991522245120 is an abundant number, since it is smaller than the sum of its proper divisors (10460241032832).

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

3991522245120 is a wasteful number, since it uses less digits than its factorization.

3991522245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14132 (or 14113 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 3991522245120 in words is "three trillion, nine hundred ninety-one billion, five hundred twenty-two million, two hundred forty-five thousand, one hundred twenty".