4047405449472 has 1728 divisors, whose sum is σ = 15791328903168. Its totient is φ = 1003290624000.

The previous prime is 4047405449459. The next prime is 4047405449473. The reversal of 4047405449472 is 2749445047404.

4047405449472 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 4 + 0 + 544 + 94 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4047405449473) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14403577972 + ... + 14403578252.

Almost surely, 2^{4047405449472} is an apocalyptic number.

4047405449472 is a gapful number since it is divisible by the number (42) 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 4047405449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895664451584).

4047405449472 is an abundant number, since it is smaller than the sum of its proper divisors (11743923453696).

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

4047405449472 is a wasteful number, since it uses less digits than its factorization.

4047405449472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 4047405449472 in words is "four trillion, forty-seven billion, four hundred five million, four hundred forty-nine thousand, four hundred seventy-two".