4390116534720 has 336 divisors, whose sum is σ = 17540251155648. Its totient is φ = 987004846080.

The previous prime is 4390116534697. The next prime is 4390116534799. The reversal of 4390116534720 is 274356110934.

4390116534720 is a `hidden beast` number, since 4 + 3 + 90 + 1 + 1 + 6 + 534 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×4390116534720³ (a number of 39 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 555189 + ... + 3014708.

Almost surely, 2^{4390116534720} is an apocalyptic number.

4390116534720 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 4390116534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770125577824).

4390116534720 is an abundant number, since it is smaller than the sum of its proper divisors (13150134620928).

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

4390116534720 is a wasteful number, since it uses less digits than its factorization.

4390116534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569988 (or 3569975 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4390116534720 in words is "four trillion, three hundred ninety billion, one hundred sixteen million, five hundred thirty-four thousand, seven hundred twenty".