409147200000 has 2400 divisors, whose sum is σ = 1949457476736. Its totient is φ = 82944000000.

The previous prime is 409147199977. The next prime is 409147200017. The reversal of 409147200000 is 2741904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9979199980 + ... + 9979200020.

Almost surely, 2^409147200000 is an apocalyptic number.

409147200000 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 409147200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974728738368).

409147200000 is an abundant number, since it is smaller than the sum of its proper divisors (1540310276736).

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

409147200000 is an frugal number, since it uses more digits than its factorization.

409147200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 409147200000 its reverse (2741904), we get a palindrome (409149941904).

The spelling of 409147200000 in words is "four hundred nine billion, one hundred forty-seven million, two hundred thousand".