393400534080 has 224 divisors, whose sum is σ = 1265256011520. Its totient is φ = 103549501440.

The previous prime is 393400534069. The next prime is 393400534091. The reversal of 393400534080 is 80435004393.

It is an interprime number because it is at equal distance from previous prime (393400534069) and next prime (393400534091).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53908992 + ... + 53916288.

Almost surely, 2^393400534080 is an apocalyptic number.

393400534080 is a gapful number since it is divisible by the number (30) 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 393400534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632628005760).

393400534080 is an abundant number, since it is smaller than the sum of its proper divisors (871855477440).

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

393400534080 is a wasteful number, since it uses less digits than its factorization.

393400534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 393400534080 in words is "three hundred ninety-three billion, four hundred million, five hundred thirty-four thousand, eighty".