40105843011 has 64 divisors (see below), whose sum is σ = 65873687040. Its totient is φ = 23955834240.

The previous prime is 40105842949. The next prime is 40105843067. The reversal of 40105843011 is 11034850104.

It is a happy number.

40105843011 is a `hidden beast` number, since 40 + 1 + 0 + 584 + 30 + 11 = 666.

It is not a de Polignac number, because 40105843011 - 2⁶ = 40105842947 is a prime.

It is a super-2 number, since 2×40105843011² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40105843081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5749756 + ... + 5756726.

It is an arithmetic number, because the mean of its divisors is an integer number (1029276360).

Almost surely, 2^40105843011 is an apocalyptic number.

40105843011 is a deficient number, since it is larger than the sum of its proper divisors (25767844029).

40105843011 is a wasteful number, since it uses less digits than its factorization.

40105843011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 40105843011 in words is "forty billion, one hundred five million, eight hundred forty-three thousand, eleven".