390734461218816 has 2496 divisors, whose sum is σ = 1400947855372800. Its totient is φ = 107549782179840.

The previous prime is 390734461218811. The next prime is 390734461218821. The reversal of 390734461218816 is 618812164437093.

390734461218816 is a `hidden beast` number, since 3 + 9 + 0 + 7 + 3 + 4 + 4 + 612 + 1 + 8 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (390734461218811) and next prime (390734461218821).

It is a tau number, because it is divible by the number of its divisors (2496).

It is not an unprimeable number, because it can be changed into a prime (390734461218811) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2811039289275 + ... + 2811039289413.

Almost surely, 2^{390734461218816} is an apocalyptic number.

390734461218816 is a gapful number since it is divisible by the number (36) 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 390734461218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700473927686400).

390734461218816 is an abundant number, since it is smaller than the sum of its proper divisors (1010213394153984).

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

390734461218816 is a wasteful number, since it uses less digits than its factorization.

390734461218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 390734461218816 in words is "three hundred ninety trillion, seven hundred thirty-four billion, four hundred sixty-one million, two hundred eighteen thousand, eight hundred sixteen".