405353230322040 has 1024 divisors, whose sum is σ = 1816164119347200. Its totient is φ = 77664535603200.

The previous prime is 405353230322023. The next prime is 405353230322057. The reversal of 405353230322040 is 40223032353504.

It is a happy number.

405353230322040 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 5 + 323 + 0 + 322 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (405353230322023) and next prime (405353230322057).

It is a super-2 number, since 2×405353230322040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 405353230321986 and 405353230322004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 984658089 + ... + 985069671.

It is an arithmetic number, because the mean of its divisors is an integer number (1773597772800).

Almost surely, 2^{405353230322040} is an apocalyptic number.

405353230322040 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 405353230322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908082059673600).

405353230322040 is an abundant number, since it is smaller than the sum of its proper divisors (1410810889025160).

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

405353230322040 is a wasteful number, since it uses less digits than its factorization.

405353230322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412545 (or 412535 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 405353230322040 its reverse (40223032353504), we get a palindrome (445576262675544).

The spelling of 405353230322040 in words is "four hundred five trillion, three hundred fifty-three billion, two hundred thirty million, three hundred twenty-two thousand, forty".