4340830020480 has 1280 divisors, whose sum is σ = 16863595372800. Its totient is φ = 1060478189568.

The previous prime is 4340830020463. The next prime is 4340830020491. The reversal of 4340830020480 is 840200380434.

4340830020480 is a `hidden beast` number, since 4 + 340 + 8 + 30 + 0 + 204 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4785920187 + ... + 4785921093.

It is an arithmetic number, because the mean of its divisors is an integer number (13174683885).

Almost surely, 2^{4340830020480} is an apocalyptic number.

4340830020480 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 4340830020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431797686400).

4340830020480 is an abundant number, since it is smaller than the sum of its proper divisors (12522765352320).

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

4340830020480 is a wasteful number, since it uses less digits than its factorization.

4340830020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4340830020480 in words is "four trillion, three hundred forty billion, eight hundred thirty million, twenty thousand, four hundred eighty".