4691271352320 has 756 divisors, whose sum is σ = 18927584692380. Its totient is φ = 1071762112512.

The previous prime is 4691271352283. The next prime is 4691271352381. The reversal of 4691271352320 is 232531721964.

It is a happy number.

4691271352320 is a `hidden beast` number, since 4 + 6 + 9 + 1 + 271 + 3 + 52 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3580996091904 + 1110275260416 = 1892352^2 + 1053696^2 .

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 35 ways as a sum of consecutive naturals, for example, 2312109066 + ... + 2312111094.

Almost surely, 2^{4691271352320} is an apocalyptic number.

4691271352320 is a gapful number since it is divisible by the number (40) 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 4691271352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463792346190).

4691271352320 is an abundant number, since it is smaller than the sum of its proper divisors (14236313340060).

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

4691271352320 is an frugal number, since it uses more digits than its factorization.

4691271352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4691271352320 in words is "four trillion, six hundred ninety-one billion, two hundred seventy-one million, three hundred fifty-two thousand, three hundred twenty".