4619921080320 has 1800 divisors, whose sum is σ = 20767944532104. Its totient is φ = 973860765696.

The previous prime is 4619921080223. The next prime is 4619921080343. The reversal of 4619921080320 is 230801299164.

4619921080320 is a `hidden beast` number, since 4 + 619 + 9 + 2 + 1 + 0 + 8 + 0 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 905451208704 + 3714469871616 = 951552^2 + 1927296^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4226825694 + ... + 4226826786.

Almost surely, 2^{4619921080320} is an apocalyptic number.

4619921080320 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 4619921080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10383972266052).

4619921080320 is an abundant number, since it is smaller than the sum of its proper divisors (16148023451784).

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

4619921080320 is a wasteful number, since it uses less digits than its factorization.

4619921080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 4619921080320 in words is "four trillion, six hundred nineteen billion, nine hundred twenty-one million, eighty thousand, three hundred twenty".