40907268182641 has 27 divisors (see below), whose sum is σ = 47798446408281. Its totient is φ = 34907530740264.

The previous prime is 40907268182579. The next prime is 40907268182653. The reversal of 40907268182641 is 14628186270904.

The square root of 40907268182641 is 6395879.

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

It is not a de Polignac number, because 40907268182641 - 2⁹ = 40907268182129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40907268182141) 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, 10700303656 + ... + 10700307478.

Almost surely, 2^{40907268182641} is an apocalyptic number.

40907268182641 is the 6395879-th square number.

40907268182641 is the 3197940-th centered octagonal number.

It is an amenable number.

40907268182641 is a deficient number, since it is larger than the sum of its proper divisors (6891178225640).

40907268182641 is an frugal number, since it uses more digits than its factorization.

40907268182641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 40907268182641 in words is "forty trillion, nine hundred seven billion, two hundred sixty-eight million, one hundred eighty-two thousand, six hundred forty-one".