405522211240 has 256 divisors, whose sum is σ = 1008189504000. Its totient is φ = 146175590400.

The previous prime is 405522211229. The next prime is 405522211253. The reversal of 405522211240 is 42112225504.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 405522211199 and 405522211208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690838227 + ... + 690838813.

It is an arithmetic number, because the mean of its divisors is an integer number (3938240250).

Almost surely, 2^405522211240 is an apocalyptic number.

405522211240 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 405522211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504094752000).

405522211240 is an abundant number, since it is smaller than the sum of its proper divisors (602667292760).

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

405522211240 is a wasteful number, since it uses less digits than its factorization.

405522211240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 405522211240 its reverse (42112225504), we get a palindrome (447634436744).

The spelling of 405522211240 in words is "four hundred five billion, five hundred twenty-two million, two hundred eleven thousand, two hundred forty".