40646987499001 has 27 divisors (see below), whose sum is σ = 44160336545997. Its totient is φ = 37396126934400.

The previous prime is 40646987498981. The next prime is 40646987499043. The reversal of 40646987499001 is 10099478964604.

The square root of 40646987499001 is 6375499.

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 3433034594025 + 37213952904976 = 1852845^2 + 6100324^2 .

It is not a de Polignac number, because 40646987499001 - 2⁵ = 40646987498969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40646987499091) 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, 33235475676 + ... + 33235476898.

Almost surely, 2^{40646987499001} is an apocalyptic number.

40646987499001 is the 6375499-th square number.

40646987499001 is the 3187750-th centered octagonal number.

It is an amenable number.

40646987499001 is a deficient number, since it is larger than the sum of its proper divisors (3513349046996).

40646987499001 is an frugal number, since it uses more digits than its factorization.

40646987499001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 67.

The spelling of 40646987499001 in words is "forty trillion, six hundred forty-six billion, nine hundred eighty-seven million, four hundred ninety-nine thousand, one".