290742641001 has 80 divisors (see below), whose sum is σ = 456820666368. Its totient is φ = 184045672800.

The previous prime is 290742640973. The next prime is 290742641047. The reversal of 290742641001 is 100146247092.

It is a happy number.

290742641001 is a `hidden beast` number, since 2 + 9 + 0 + 7 + 4 + 2 + 641 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 290742641001 - 2²⁶ = 290675532137 is a prime.

It is a super-3 number, since 3×290742641001³ (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (290742641081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44243046 + ... + 44249616.

Almost surely, 2^290742641001 is an apocalyptic number.

It is an amenable number.

290742641001 is a deficient number, since it is larger than the sum of its proper divisors (166078025367).

290742641001 is a wasteful number, since it uses less digits than its factorization.

290742641001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 290742641001 its reverse (100146247092), we get a palindrome (390888888093).

The spelling of 290742641001 in words is "two hundred ninety billion, seven hundred forty-two million, six hundred forty-one thousand, one".