1601040000 has 320 divisors, whose sum is σ = 6079803840. Its totient is φ = 365568000.

The previous prime is 1601039939. The next prime is 1601040013. The reversal of 1601040000 is 401061.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679524 + ... + 1680476.

It is an arithmetic number, because the mean of its divisors is an integer number (18999387).

Almost surely, 2^1601040000 is an apocalyptic number.

1601040000 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 1601040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039901920).

1601040000 is an abundant number, since it is smaller than the sum of its proper divisors (4478763840).

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

1601040000 is an frugal number, since it uses more digits than its factorization.

1601040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1601040000 is about 40012.9978881863. The cubic root of 1601040000 is about 1169.8604552691.

Adding to 1601040000 its reverse (401061), we get a palindrome (1601441061).

The spelling of 1601040000 in words is "one billion, six hundred one million, forty thousand".