4619479314240 has 1344 divisors, whose sum is σ = 18941616046080. Its totient is φ = 1011596083200.

The previous prime is 4619479314239. The next prime is 4619479314337. The reversal of 4619479314240 is 424139749164.

It is a happy number.

4619479314240 is a `hidden beast` number, since 4 + 6 + 19 + 4 + 79 + 314 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×4619479314240³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11875267966 + ... + 11875268354.

It is an arithmetic number, because the mean of its divisors is an integer number (14093464320).

Almost surely, 2^{4619479314240} is an apocalyptic number.

4619479314240 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 4619479314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9470808023040).

4619479314240 is an abundant number, since it is smaller than the sum of its proper divisors (14322136731840).

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

4619479314240 is a wasteful number, since it uses less digits than its factorization.

4619479314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4619479314240 in words is "four trillion, six hundred nineteen billion, four hundred seventy-nine million, three hundred fourteen thousand, two hundred forty".