40460094680625 has 45 divisors (see below), whose sum is σ = 73030432881549. Its totient is φ = 21578462730000.

The previous prime is 40460094680623. The next prime is 40460094680699. The reversal of 40460094680625 is 52608649006404.

The square root of 40460094680625 is 6360825.

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

40460094680625 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 0 + 0 + 9 + 4 + 6 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3172071422961 + 37288023257664 = 1781031^2 + 6106392^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 40460094680625 - 2¹ = 40460094680623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40460094680623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 477019470 + ... + 477104280.

Almost surely, 2^{40460094680625} is an apocalyptic number.

40460094680625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40460094680625 is the 6360825-th square number.

40460094680625 is the 3180413-rd centered octagonal number.

It is an amenable number.

40460094680625 is a deficient number, since it is larger than the sum of its proper divisors (32570338200924).

40460094680625 is an frugal number, since it uses more digits than its factorization.

40460094680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169648 (or 84819 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 40460094680625 in words is "forty trillion, four hundred sixty billion, ninety-four million, six hundred eighty thousand, six hundred twenty-five".