393429104640 has 1920 divisors, whose sum is σ = 1726130165760. Its totient is φ = 84403814400.

The previous prime is 393429104617. The next prime is 393429104659. The reversal of 393429104640 is 46401924393.

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 (45).

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 159 ways as a sum of consecutive naturals, for example, 3676907467 + ... + 3676907573.

It is an arithmetic number, because the mean of its divisors is an integer number (899026128).

Almost surely, 2^393429104640 is an apocalyptic number.

393429104640 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 393429104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863065082880).

393429104640 is an abundant number, since it is smaller than the sum of its proper divisors (1332701061120).

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

393429104640 is a wasteful number, since it uses less digits than its factorization.

393429104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 393429104640 in words is "three hundred ninety-three billion, four hundred twenty-nine million, one hundred four thousand, six hundred forty".