404375160000 has 1120 divisors, whose sum is σ = 1612485439488. Its totient is φ = 87459840000.

The previous prime is 404375159959. The next prime is 404375160011. The reversal of 404375160000 is 61573404.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 404375160000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1380119854 + ... + 1380120146.

Almost surely, 2^404375160000 is an apocalyptic number.

404375160000 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 404375160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806242719744).

404375160000 is an abundant number, since it is smaller than the sum of its proper divisors (1208110279488).

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

404375160000 is a wasteful number, since it uses less digits than its factorization.

404375160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 404375160000 in words is "four hundred four billion, three hundred seventy-five million, one hundred sixty thousand".