4390046760960 has 1920 divisors, whose sum is σ = 18853611060240. Its totient is φ = 973860765696.

The previous prime is 4390046760947. The next prime is 4390046760973. The reversal of 4390046760960 is 690676400934.

4390046760960 is a `hidden beast` number, since 4 + 3 + 90 + 0 + 467 + 6 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4390046760947) and next prime (4390046760973).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4390046760897 and 4390046760906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27962081202 + ... + 27962081358.

Almost surely, 2^{4390046760960} is an apocalyptic number.

4390046760960 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 4390046760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9426805530120).

4390046760960 is an abundant number, since it is smaller than the sum of its proper divisors (14463564299280).

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

4390046760960 is an equidigital number, since it uses as much as digits as its factorization.

4390046760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 4390046760960 in words is "four trillion, three hundred ninety billion, forty-six million, seven hundred sixty thousand, nine hundred sixty".