4009725193041 has 20 divisors (see below), whose sum is σ = 5990174554672. Its totient is φ = 2672999216568.

The previous prime is 4009725193037. The next prime is 4009725193147. The reversal of 4009725193041 is 1403915279004.

4009725193041 is a `hidden beast` number, since 4 + 0 + 0 + 97 + 2 + 519 + 3 + 0 + 41 = 666.

It is not a de Polignac number, because 4009725193041 - 2² = 4009725193037 is a prime.

It is a super-2 number, since 2×4009725193041² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4009725193741) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55566 + ... + 2832408.

Almost surely, 2^{4009725193041} is an apocalyptic number.

It is an amenable number.

4009725193041 is a deficient number, since it is larger than the sum of its proper divisors (1980449361631).

4009725193041 is a wasteful number, since it uses less digits than its factorization.

4009725193041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794682 (or 2794673 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 4009725193041 in words is "four trillion, nine billion, seven hundred twenty-five million, one hundred ninety-three thousand, forty-one".