1809401637120 has 1152 divisors, whose sum is σ = 7496328204288. Its totient is φ = 361060761600.

The previous prime is 1809401637119. The next prime is 1809401637137. The reversal of 1809401637120 is 217361049081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 775567474 + ... + 775569806.

It is an arithmetic number, because the mean of its divisors is an integer number (6507229344).

Almost surely, 2^{1809401637120} is an apocalyptic number.

1809401637120 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 1809401637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748164102144).

1809401637120 is an abundant number, since it is smaller than the sum of its proper divisors (5686926567168).

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

1809401637120 is a wasteful number, since it uses less digits than its factorization.

1809401637120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 1809401637120 in words is "one trillion, eight hundred nine billion, four hundred one million, six hundred thirty-seven thousand, one hundred twenty".