4684719794040 has 768 divisors, whose sum is σ = 18570164820480. Its totient is φ = 1047167170560.

The previous prime is 4684719794023. The next prime is 4684719794071. The reversal of 4684719794040 is 404979174864.

4684719794040 is a `hidden beast` number, since 468 + 4 + 7 + 1 + 97 + 9 + 40 + 40 = 666.

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, 2116907974 + ... + 2116910186.

It is an arithmetic number, because the mean of its divisors is an integer number (24179902110).

Almost surely, 2^{4684719794040} is an apocalyptic number.

4684719794040 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 4684719794040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285082410240).

4684719794040 is an abundant number, since it is smaller than the sum of its proper divisors (13885445026440).

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

4684719794040 is a wasteful number, since it uses less digits than its factorization.

4684719794040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4684719794040 in words is "four trillion, six hundred eighty-four billion, seven hundred nineteen million, seven hundred ninety-four thousand, forty".