4619116414080 has 1152 divisors, whose sum is σ = 20064953076480. Its totient is φ = 972502401024.

The previous prime is 4619116414049. The next prime is 4619116414091. The reversal of 4619116414080 is 804146119164.

4619116414080 is a `hidden beast` number, since 4 + 6 + 191 + 16 + 41 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 225499519 + ... + 225520001.

It is an arithmetic number, because the mean of its divisors is an integer number (17417493990).

Almost surely, 2^{4619116414080} is an apocalyptic number.

4619116414080 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 4619116414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032476538240).

4619116414080 is an abundant number, since it is smaller than the sum of its proper divisors (15445836662400).

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

4619116414080 is a wasteful number, since it uses less digits than its factorization.

4619116414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20586 (or 20564 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 4619116414080 in words is "four trillion, six hundred nineteen billion, one hundred sixteen million, four hundred fourteen thousand, eighty".