4390416685440 has 384 divisors, whose sum is σ = 15411725128800. Its totient is φ = 1151546720256.

The previous prime is 4390416685423. The next prime is 4390416685441. The reversal of 4390416685440 is 445866140934.

4390416685440 is a `hidden beast` number, since 4 + 3 + 90 + 4 + 1 + 6 + 6 + 8 + 544 + 0 = 666.

4390416685440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4390416685441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85988559 + ... + 86039601.

Almost surely, 2^{4390416685440} is an apocalyptic number.

4390416685440 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 4390416685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705862564400).

4390416685440 is an abundant number, since it is smaller than the sum of its proper divisors (11021308443360).

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

4390416685440 is a wasteful number, since it uses less digits than its factorization.

4390416685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51314 (or 51299 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4390416685440 in words is "four trillion, three hundred ninety billion, four hundred sixteen million, six hundred eighty-five thousand, four hundred forty".