4016664291360 has 384 divisors, whose sum is σ = 15623050867200. Its totient is φ = 864088522752.

The previous prime is 4016664291349. The next prime is 4016664291403. The reversal of 4016664291360 is 631924666104.

It is a super-2 number, since 2×4016664291360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2081332 + ... + 3516428.

It is an arithmetic number, because the mean of its divisors is an integer number (40685028300).

Almost surely, 2^{4016664291360} is an apocalyptic number.

4016664291360 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 4016664291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811525433600).

4016664291360 is an abundant number, since it is smaller than the sum of its proper divisors (11606386575840).

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

4016664291360 is a wasteful number, since it uses less digits than its factorization.

4016664291360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435153 (or 1435131 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 4016664291360 in words is "four trillion, sixteen billion, six hundred sixty-four million, two hundred ninety-one thousand, three hundred sixty".