4472460642744 has 128 divisors (see below), whose sum is σ = 12550298112000. Its totient is φ = 1475632639872.

The previous prime is 4472460642743. The next prime is 4472460642779.

4472460642744 is a `hidden beast` number, since 4 + 4 + 7 + 2 + 4 + 606 + 4 + 27 + 4 + 4 = 666.

4472460642744 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4472460642743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23047129 + ... + 23240375.

It is an arithmetic number, because the mean of its divisors is an integer number (98049204000).

Almost surely, 2^{4472460642744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4472460642744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275149056000).

4472460642744 is an abundant number, since it is smaller than the sum of its proper divisors (8077837469256).

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

4472460642744 is a wasteful number, since it uses less digits than its factorization.

4472460642744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194354 (or 194344 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 54.

The spelling of 4472460642744 in words is "four trillion, four hundred seventy-two billion, four hundred sixty million, six hundred forty-two thousand, seven hundred forty-four".