1409041200 has 480 divisors, whose sum is σ = 5455650816. Its totient is φ = 304174080.

The previous prime is 1409041091. The next prime is 1409041211. The reversal of 1409041200 is 21409041.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 16976359 + ... + 16976441.

Almost surely, 2^1409041200 is an apocalyptic number.

1409041200 is a gapful number since it is divisible by the number (10) 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 1409041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727825408).

1409041200 is an abundant number, since it is smaller than the sum of its proper divisors (4046609616).

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

1409041200 is a wasteful number, since it uses less digits than its factorization.

1409041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1409041200 is about 37537.1975512291. The cubic root of 1409041200 is about 1121.0919410214.

The spelling of 1409041200 in words is "one billion, four hundred nine million, forty-one thousand, two hundred".