40106614564701 has 32 divisors (see below), whose sum is σ = 62981395776000. Its totient is φ = 25137310947840.

The previous prime is 40106614564673. The next prime is 40106614564759. The reversal of 40106614564701 is 10746541660104.

40106614564701 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 6 + 6 + 14 + 564 + 70 + 1 = 666.

It is not a de Polignac number, because 40106614564701 - 2³³ = 40098024630109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40106614564781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47539176 + ... + 48375473.

It is an arithmetic number, because the mean of its divisors is an integer number (1968168618000).

Almost surely, 2^{40106614564701} is an apocalyptic number.

It is an amenable number.

40106614564701 is a deficient number, since it is larger than the sum of its proper divisors (22874781211299).

40106614564701 is a wasteful number, since it uses less digits than its factorization.

40106614564701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95915586 (or 95915580 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40106614564701 in words is "forty trillion, one hundred six billion, six hundred fourteen million, five hundred sixty-four thousand, seven hundred one".