4415966095464 has 320 divisors, whose sum is σ = 15428586792960. Its totient is φ = 1146427551360.

The previous prime is 4415966095459. The next prime is 4415966095537. The reversal of 4415966095464 is 4645906695144.

4415966095464 is a `hidden beast` number, since 4 + 4 + 15 + 9 + 6 + 609 + 5 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×4415966095464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104111749 + ... + 104154155.

It is an arithmetic number, because the mean of its divisors is an integer number (48214333728).

Almost surely, 2^{4415966095464} is an apocalyptic number.

4415966095464 is a gapful number since it is divisible by the number (44) 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 4415966095464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714293396480).

4415966095464 is an abundant number, since it is smaller than the sum of its proper divisors (11012620697496).

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

4415966095464 is a wasteful number, since it uses less digits than its factorization.

4415966095464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44530 (or 44517 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 4415966095464 in words is "four trillion, four hundred fifteen billion, nine hundred sixty-six million, ninety-five thousand, four hundred sixty-four".