405323993088 has 208 divisors, whose sum is σ = 1372360767360. Its totient is φ = 115806633984.

The previous prime is 405323992993. The next prime is 405323993131. The reversal of 405323993088 is 880399323504.

It is a happy number.

405323993088 is a `hidden beast` number, since 4 + 0 + 5 + 323 + 9 + 9 + 308 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512356 + ... + 1035932.

Almost surely, 2^405323993088 is an apocalyptic number.

405323993088 is a gapful number since it is divisible by the number (48) 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 405323993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686180383680).

405323993088 is an abundant number, since it is smaller than the sum of its proper divisors (967036774272).

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

405323993088 is an equidigital number, since it uses as much as digits as its factorization.

405323993088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523617 (or 523589 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 405323993088 in words is "four hundred five billion, three hundred twenty-three million, nine hundred ninety-three thousand, eighty-eight".