394559319340032 has 1056 divisors, whose sum is σ = 1389393190649856. Its totient is φ = 97253419253760.

The previous prime is 394559319340027. The next prime is 394559319340051. The reversal of 394559319340032 is 230043913955493.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×394559319340032² (a number of 30 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 7600369308 + ... + 7600421220.

Almost surely, 2^{394559319340032} is an apocalyptic number.

394559319340032 is a gapful number since it is divisible by the number (32) 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 394559319340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694696595324928).

394559319340032 is an abundant number, since it is smaller than the sum of its proper divisors (994833871309824).

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

394559319340032 is a wasteful number, since it uses less digits than its factorization.

394559319340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52115 (or 52086 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 60.

The spelling of 394559319340032 in words is "three hundred ninety-four trillion, five hundred fifty-nine billion, three hundred nineteen million, three hundred forty thousand, thirty-two".