409212311040 has 1120 divisors, whose sum is σ = 1609476111936. Its totient is φ = 99134668800.

The previous prime is 409212311023. The next prime is 409212311051. The reversal of 409212311040 is 40113212904.

It is a happy number.

409212311040 is a `hidden beast` number, since 409 + 21 + 231 + 1 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 409212310995 and 409212311013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2450373037 + ... + 2450373203.

Almost surely, 2^409212311040 is an apocalyptic number.

409212311040 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 409212311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804738055968).

409212311040 is an abundant number, since it is smaller than the sum of its proper divisors (1200263800896).

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

409212311040 is a wasteful number, since it uses less digits than its factorization.

409212311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 409212311040 its reverse (40113212904), we get a palindrome (449325523944).

The spelling of 409212311040 in words is "four hundred nine billion, two hundred twelve million, three hundred eleven thousand, forty".