1609090971840 has 1120 divisors, whose sum is σ = 6402981904704. Its totient is φ = 380294922240.

The previous prime is 1609090971821. The next prime is 1609090971857. The reversal of 1609090971840 is 481790909061.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2018934322 + ... + 2018935118.

Almost surely, 2^{1609090971840} is an apocalyptic number.

1609090971840 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 1609090971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201490952352).

1609090971840 is an abundant number, since it is smaller than the sum of its proper divisors (4793890932864).

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

1609090971840 is a wasteful number, since it uses less digits than its factorization.

1609090971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1609090971840 in words is "one trillion, six hundred nine billion, ninety million, nine hundred seventy-one thousand, eight hundred forty".