4009041103081 has 27 divisors (see below), whose sum is σ = 4819391592957. Its totient is φ = 3325111476120.

The previous prime is 4009041103073. The next prime is 4009041103103. The reversal of 4009041103081 is 1803011409004.

The square root of 4009041103081 is 2002259.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 4009041103081 - 2³ = 4009041103073 is a prime.

It is a super-2 number, since 2×4009041103081² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4009041103021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 434485590 + ... + 434494816.

Almost surely, 2^{4009041103081} is an apocalyptic number.

4009041103081 is the 2002259-th square number.

4009041103081 is the 1001130-th centered octagonal number.

It is an amenable number.

4009041103081 is a deficient number, since it is larger than the sum of its proper divisors (810350489876).

4009041103081 is an frugal number, since it uses more digits than its factorization.

4009041103081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18530 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 4009041103081 in words is "four trillion, nine billion, forty-one million, one hundred three thousand, eighty-one".