40468618635025 has 27 divisors (see below), whose sum is σ = 58374238821969. Its totient is φ = 27749757245280.

The previous prime is 40468618635007. The next prime is 40468618635031. The reversal of 40468618635025 is 52053681686404.

The square root of 40468618635025 is 6361495.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2165491776721 + 38303126858304 = 1471561^2 + 6188952^2 .

It is not a de Polignac number, because 40468618635025 - 2¹⁷ = 40468618503953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222561447 + ... + 222743203.

Almost surely, 2^{40468618635025} is an apocalyptic number.

40468618635025 is the 6361495-th square number.

40468618635025 is the 3180748-th centered octagonal number.

It is an amenable number.

40468618635025 is a deficient number, since it is larger than the sum of its proper divisors (17905620186944).

40468618635025 is an frugal number, since it uses more digits than its factorization.

40468618635025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363538 (or 181769 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 58.

The spelling of 40468618635025 in words is "forty trillion, four hundred sixty-eight billion, six hundred eighteen million, six hundred thirty-five thousand, twenty-five".