3012418644480 has 360 divisors, whose sum is σ = 12136180497012. Its totient is φ = 688552574976.

The previous prime is 3012418644463. The next prime is 3012418644503. The reversal of 3012418644480 is 844468142103.

3012418644480 is a `hidden beast` number, since 3 + 0 + 1 + 24 + 186 + 4 + 448 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2608715983104 + 403702661376 = 1615152^2 + 635376^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3012418644480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205197 + ... + 2463116.

Almost surely, 2^{3012418644480} is an apocalyptic number.

3012418644480 is a gapful number since it is divisible by the number (30) 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 3012418644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068090248506).

3012418644480 is an abundant number, since it is smaller than the sum of its proper divisors (9123761852532).

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

3012418644480 is a wasteful number, since it uses less digits than its factorization.

3012418644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668356 (or 2668330 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 3012418644480 in words is "three trillion, twelve billion, four hundred eighteen million, six hundred forty-four thousand, four hundred eighty".