404698432320 has 1512 divisors, whose sum is σ = 1785533518080. Its totient is φ = 83832053760.

The previous prime is 404698432277. The next prime is 404698432349. The reversal of 404698432320 is 23234896404.

404698432320 is a `hidden beast` number, since 404 + 6 + 9 + 8 + 4 + 3 + 232 + 0 = 666.

It is a super-2 number, since 2×404698432320² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1693298761 + ... + 1693298999.

Almost surely, 2^404698432320 is an apocalyptic number.

404698432320 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 404698432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892766759040).

404698432320 is an abundant number, since it is smaller than the sum of its proper divisors (1380835085760).

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

404698432320 is a wasteful number, since it uses less digits than its factorization.

404698432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 404698432320 in words is "four hundred four billion, six hundred ninety-eight million, four hundred thirty-two thousand, three hundred twenty".