1409049331200 has 1080 divisors, whose sum is σ = 6121482249168. Its totient is φ = 308037058560.

The previous prime is 1409049331187. The next prime is 1409049331201. The reversal of 1409049331200 is 21339409041.

1409049331200 is a `hidden beast` number, since 1 + 40 + 9 + 0 + 493 + 3 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409049331201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 129824974 + ... + 129835826.

Almost surely, 2^{1409049331200} is an apocalyptic number.

1409049331200 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 1409049331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060741124584).

1409049331200 is an abundant number, since it is smaller than the sum of its proper divisors (4712432917968).

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

1409049331200 is a wasteful number, since it uses less digits than its factorization.

1409049331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10924 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1409049331200 in words is "one trillion, four hundred nine billion, forty-nine million, three hundred thirty-one thousand, two hundred".