409780800000 has 1440 divisors, whose sum is σ = 1745382038400. Its totient is φ = 91238400000.

The previous prime is 409780799959. The next prime is 409780800017. The reversal of 409780800000 is 8087904.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2059199901 + ... + 2059200099.

It is an arithmetic number, because the mean of its divisors is an integer number (1212070860).

Almost surely, 2^409780800000 is an apocalyptic number.

409780800000 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 409780800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872691019200).

409780800000 is an abundant number, since it is smaller than the sum of its proper divisors (1335601238400).

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

409780800000 is a wasteful number, since it uses less digits than its factorization.

409780800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 409780800000 its reverse (8087904), we get a palindrome (409788887904).

The spelling of 409780800000 in words is "four hundred nine billion, seven hundred eighty million, eight hundred thousand".