4204399432464 has 1080 divisors, whose sum is σ = 16012820131776. Its totient is φ = 1000285977600.

The previous prime is 4204399432439. The next prime is 4204399432469. The reversal of 4204399432464 is 4642349934024.

4204399432464 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 399 + 4 + 3 + 246 + 4 = 666.

It is a super-2 number, since 2×4204399432464² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4204399432464.

It is not an unprimeable number, because it can be changed into a prime (4204399432469) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3846659502 + ... + 3846660594.

Almost surely, 2^{4204399432464} is an apocalyptic number.

4204399432464 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 4204399432464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006410065888).

4204399432464 is an abundant number, since it is smaller than the sum of its proper divisors (11808420699312).

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

4204399432464 is a wasteful number, since it uses less digits than its factorization.

4204399432464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 4204399432464 in words is "four trillion, two hundred four billion, three hundred ninety-nine million, four hundred thirty-two thousand, four hundred sixty-four".