4341786952320 has 256 divisors, whose sum is σ = 15379103692800. Its totient is φ = 1157663674368.

The previous prime is 4341786952309. The next prime is 4341786952331. The reversal of 4341786952320 is 232596871434.

4341786952320 is a `hidden beast` number, since 4 + 3 + 4 + 17 + 86 + 9 + 523 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4341786952309) and next prime (4341786952331).

It is a super-2 number, since 2×4341786952320² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263978337 + ... + 263994783.

It is an arithmetic number, because the mean of its divisors is an integer number (60074623800).

It is a 1-persistent number, because it is pandigital, but 2⋅4341786952320 = 8683573904640 is not.

Almost surely, 2^{4341786952320} is an apocalyptic number.

4341786952320 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 4341786952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689551846400).

4341786952320 is an abundant number, since it is smaller than the sum of its proper divisors (11037316740480).

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

4341786952320 is a wasteful number, since it uses less digits than its factorization.

4341786952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31752 (or 31734 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4341786952320 in words is "four trillion, three hundred forty-one billion, seven hundred eighty-six million, nine hundred fifty-two thousand, three hundred twenty".