4430397077568 has 672 divisors, whose sum is σ = 16466649019392. Its totient is φ = 1105535692800.

The previous prime is 4430397077567. The next prime is 4430397077713. The reversal of 4430397077568 is 8657707930344.

4430397077568 is a `hidden beast` number, since 4 + 4 + 30 + 39 + 7 + 0 + 7 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4430397077567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116316255 + ... + 116354337.

Almost surely, 2^{4430397077568} is an apocalyptic number.

4430397077568 is a gapful number since it is divisible by the number (48) 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 4430397077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233324509696).

4430397077568 is an abundant number, since it is smaller than the sum of its proper divisors (12036251941824).

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

4430397077568 is a wasteful number, since it uses less digits than its factorization.

4430397077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38223 (or 38210 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 4430397077568 in words is "four trillion, four hundred thirty billion, three hundred ninety-seven million, seventy-seven thousand, five hundred sixty-eight".