405122365440 has 1296 divisors, whose sum is σ = 1644840124200. Its totient is φ = 91920531456.

The previous prime is 405122365411. The next prime is 405122365457. The reversal of 405122365440 is 44563221504.

405122365440 is a `hidden beast` number, since 40 + 51 + 2 + 23 + 6 + 544 + 0 = 666.

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 = 405122365395 and 405122365404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10949253102 + ... + 10949253138.

Almost surely, 2^405122365440 is an apocalyptic number.

405122365440 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 405122365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822420062100).

405122365440 is an abundant number, since it is smaller than the sum of its proper divisors (1239717758760).

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

405122365440 is a wasteful number, since it uses less digits than its factorization.

405122365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 405122365440 its reverse (44563221504), we get a palindrome (449685586944).

The spelling of 405122365440 in words is "four hundred five billion, one hundred twenty-two million, three hundred sixty-five thousand, four hundred forty".