409570201600 has 1248 divisors, whose sum is σ = 1360204012800. Its totient is φ = 118908518400.

The previous prime is 409570201589. The next prime is 409570201631. The reversal of 409570201600 is 6102075904.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 6714265570 + ... + 6714265630.

Almost surely, 2^409570201600 is an apocalyptic number.

409570201600 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 409570201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680102006400).

409570201600 is an abundant number, since it is smaller than the sum of its proper divisors (950633811200).

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

409570201600 is a wasteful number, since it uses less digits than its factorization.

409570201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 409570201600 in words is "four hundred nine billion, five hundred seventy million, two hundred one thousand, six hundred".