409893900000 has 576 divisors, whose sum is σ = 1457852691456. Its totient is φ = 100235520000.

The previous prime is 409893899969. The next prime is 409893900029. The reversal of 409893900000 is 9398904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 885299769 + ... + 885300231.

It is an arithmetic number, because the mean of its divisors is an integer number (2530994256).

Almost surely, 2^409893900000 is an apocalyptic number.

409893900000 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 409893900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728926345728).

409893900000 is an abundant number, since it is smaller than the sum of its proper divisors (1047958791456).

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

409893900000 is a wasteful number, since it uses less digits than its factorization.

409893900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 409893900000 in words is "four hundred nine billion, eight hundred ninety-three million, nine hundred thousand".