40514846089 has 27 divisors (see below), whose sum is σ = 43145878797. Its totient is φ = 38042487000.

The previous prime is 40514846077. The next prime is 40514846101. The reversal of 40514846089 is 98064841504.

It is a happy number.

The square root of 40514846089 is 201283.

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

It is an interprime number because it is at equal distance from previous prime (40514846077) and next prime (40514846101).

It is not a de Polignac number, because 40514846089 - 2¹³ = 40514837897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40514846039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 268310164 + ... + 268310314.

It is an arithmetic number, because the mean of its divisors is an integer number (1597995511).

Almost surely, 2^40514846089 is an apocalyptic number.

40514846089 is the 201283-rd square number.

40514846089 is the 100642-nd centered octagonal number.

It is an amenable number.

40514846089 is a deficient number, since it is larger than the sum of its proper divisors (2631032708).

40514846089 is an frugal number, since it uses more digits than its factorization.

40514846089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 40514846089 by its sum of digits (49), we get a square (1985227458361 = 1408981²).

The spelling of 40514846089 in words is "forty billion, five hundred fourteen million, eight hundred forty-six thousand, eighty-nine".