4118628094560 has 1536 divisors, whose sum is σ = 17616111206400. Its totient is φ = 878443315200.

The previous prime is 4118628094481. The next prime is 4118628094627. The reversal of 4118628094560 is 654908268114.

4118628094560 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 628 + 0 + 9 + 4 + 5 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4118628094497 and 4118628094506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6852958260 + ... + 6852958860.

It is an arithmetic number, because the mean of its divisors is an integer number (11468822400).

Almost surely, 2^{4118628094560} is an apocalyptic number.

4118628094560 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 4118628094560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808055603200).

4118628094560 is an abundant number, since it is smaller than the sum of its proper divisors (13497483111840).

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

4118628094560 is a wasteful number, since it uses less digits than its factorization.

4118628094560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4118628094560 in words is "four trillion, one hundred eighteen billion, six hundred twenty-eight million, ninety-four thousand, five hundred sixty".