405502213120 has 176 divisors, whose sum is σ = 1036803993408. Its totient is φ = 151643750400.

The previous prime is 405502213099. The next prime is 405502213147. The reversal of 405502213120 is 21312205504.

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 15 ways as a sum of consecutive naturals, for example, 13127614 + ... + 13158466.

Almost surely, 2^405502213120 is an apocalyptic number.

405502213120 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 405502213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518401996704).

405502213120 is an abundant number, since it is smaller than the sum of its proper divisors (631301780288).

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

405502213120 is a wasteful number, since it uses less digits than its factorization.

405502213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31046 (or 31028 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 405502213120 its reverse (21312205504), we get a palindrome (426814418624).

The spelling of 405502213120 in words is "four hundred five billion, five hundred two million, two hundred thirteen thousand, one hundred twenty".