4391064603072 has 504 divisors, whose sum is σ = 15268642421760. Its totient is φ = 1247542248960.

The previous prime is 4391064603049. The next prime is 4391064603073. The reversal of 4391064603072 is 2703064601934.

4391064603072 is a `hidden beast` number, since 4 + 3 + 91 + 0 + 6 + 460 + 30 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4391064603073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136390497 + ... + 136422687.

It is an arithmetic number, because the mean of its divisors is an integer number (30294925440).

Almost surely, 2^{4391064603072} is an apocalyptic number.

4391064603072 is a gapful number since it is divisible by the number (42) 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 4391064603072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634321210880).

4391064603072 is an abundant number, since it is smaller than the sum of its proper divisors (10877577818688).

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

4391064603072 is a wasteful number, since it uses less digits than its factorization.

4391064603072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32411 (or 32382 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 4391064603072 in words is "four trillion, three hundred ninety-one billion, sixty-four million, six hundred three thousand, seventy-two".