409210907040 has 1536 divisors, whose sum is σ = 1706987520000. Its totient is φ = 90654474240.

The previous prime is 409210907033. The next prime is 409210907081. The reversal of 409210907040 is 40709012904.

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 = 409210906986 and 409210907004.

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, 2943963291 + ... + 2943963429.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320000).

Almost surely, 2^409210907040 is an apocalyptic number.

409210907040 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 409210907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853493760000).

409210907040 is an abundant number, since it is smaller than the sum of its proper divisors (1297776612960).

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

409210907040 is a wasteful number, since it uses less digits than its factorization.

409210907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 409210907040 its reverse (40709012904), we get a palindrome (449919919944).

The spelling of 409210907040 in words is "four hundred nine billion, two hundred ten million, nine hundred seven thousand, forty".