1601442000 has 120 divisors (see below), whose sum is σ = 5593365960. Its totient is φ = 427046400.

The previous prime is 1601441993. The next prime is 1601442049. The reversal of 1601442000 is 2441061.

1601442000 is a `hidden beast` number, since 1 + 601 + 44 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22810176 + 1578631824 = 4776^2 + 39732^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26485 + ... + 62484.

It is an arithmetic number, because the mean of its divisors is an integer number (46611383).

Almost surely, 2^1601442000 is an apocalyptic number.

1601442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601442000 is an abundant number, since it is smaller than the sum of its proper divisors (3991923960).

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

1601442000 is a wasteful number, since it uses less digits than its factorization.

1601442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88998 (or 88979 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1601442000 is about 40018.0209405713. The cubic root of 1601442000 is about 1169.9583592456.

Adding to 1601442000 its reverse (2441061), we get a palindrome (1603883061).

The spelling of 1601442000 in words is "one billion, six hundred one million, four hundred forty-two thousand".