1404800409600 has 672 divisors, whose sum is σ = 5898477651840. Its totient is φ = 321088389120.

The previous prime is 1404800409589. The next prime is 1404800409601. The reversal of 1404800409600 is 69040084041.

It is a happy number.

1404800409600 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 8 + 0 + 0 + 40 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (1404800409601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38689054 + ... + 38725346.

Almost surely, 2^{1404800409600} is an apocalyptic number.

1404800409600 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 1404800409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949238825920).

1404800409600 is an abundant number, since it is smaller than the sum of its proper divisors (4493677242240).

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

1404800409600 is an equidigital number, since it uses as much as digits as its factorization.

1404800409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36345 (or 36310 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1404800409600 in words is "one trillion, four hundred four billion, eight hundred million, four hundred nine thousand, six hundred".