409801866240 has 704 divisors, whose sum is σ = 1468463431680. Its totient is φ = 96860897280.

The previous prime is 409801866233. The next prime is 409801866259. The reversal of 409801866240 is 42668108904.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 409801866240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479428982 + ... + 1479429258.

Almost surely, 2^409801866240 is an apocalyptic number.

409801866240 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 409801866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734231715840).

409801866240 is an abundant number, since it is smaller than the sum of its proper divisors (1058661565440).

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

409801866240 is a wasteful number, since it uses less digits than its factorization.

409801866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 409801866240 in words is "four hundred nine billion, eight hundred one million, eight hundred sixty-six thousand, two hundred forty".