4472469872640 has 3360 divisors, whose sum is σ = 21184934889888. Its totient is φ = 891813888000.

The previous prime is 4472469872617. The next prime is 4472469872707. The reversal of 4472469872640 is 462789642744.

4472469872640 is a `hidden beast` number, since 4 + 4 + 72 + 469 + 87 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 73319178210 + ... + 73319178270.

Almost surely, 2^{4472469872640} is an apocalyptic number.

4472469872640 is a gapful number since it is divisible by the number (40) 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 4472469872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10592467444944).

4472469872640 is an abundant number, since it is smaller than the sum of its proper divisors (16712465017248).

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

4472469872640 is a wasteful number, since it uses less digits than its factorization.

4472469872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 4472469872640 in words is "four trillion, four hundred seventy-two billion, four hundred sixty-nine million, eight hundred seventy-two thousand, six hundred forty".