4429374833664 has 297 divisors, whose sum is σ = 14065183350309. Its totient is φ = 1341561323520.

The previous prime is 4429374833647. The next prime is 4429374833669. The reversal of 4429374833664 is 4663384739244.

The square root of 4429374833664 is 2104608.

It is a perfect power (a square), and thus also a powerful number.

4429374833664 is a `hidden beast` number, since 4 + 4 + 2 + 93 + 7 + 483 + 3 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3241728230400 + 1187646603264 = 1800480^2 + 1089792^2 .

It is a super-2 number, since 2×4429374833664² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4429374833669) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2222465052 + ... + 2222467044.

Almost surely, 2^{4429374833664} is an apocalyptic number.

4429374833664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4429374833664 is the 2104608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4429374833664

4429374833664 is an abundant number, since it is smaller than the sum of its proper divisors (9635808516645).

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

4429374833664 is an equidigital number, since it uses as much as digits as its factorization.

4429374833664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 2009 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 63.

The spelling of 4429374833664 in words is "four trillion, four hundred twenty-nine billion, three hundred seventy-four million, eight hundred thirty-three thousand, six hundred sixty-four".