40077237249 has 27 divisors (see below), whose sum is σ = 67347728643. Its totient is φ = 22898876112.

The previous prime is 40077237241. The next prime is 40077237253. The reversal of 40077237249 is 94273277004.

The square root of 40077237249 is 200193.

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

40077237249 is a `hidden beast` number, since 400 + 7 + 7 + 237 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6759306225 + 33317931024 = 82215^2 + 182532^2 .

It is not a de Polignac number, because 40077237249 - 2³ = 40077237241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40077237241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4199287 + ... + 4208819.

Almost surely, 2^40077237249 is an apocalyptic number.

40077237249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

40077237249 is the 200193-rd square number.

40077237249 is the 100097-th centered octagonal number.

It is an amenable number.

40077237249 is a deficient number, since it is larger than the sum of its proper divisors (27270491394).

40077237249 is an frugal number, since it uses more digits than its factorization.

40077237249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19086 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 40077237249 in words is "forty billion, seventy-seven million, two hundred thirty-seven thousand, two hundred forty-nine".