40001688001 has 8 divisors (see below), whose sum is σ = 43778524608. Its totient is φ = 36248238000.

The previous prime is 40001687993. The next prime is 40001688061. The reversal of 40001688001 is 10088610004.

It is a Cunningham number, because it is equal to 3420³+1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40001688001 - 2³ = 40001687993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40001688061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5843070 + ... + 5849911.

It is an arithmetic number, because the mean of its divisors is an integer number (5472315576).

Almost surely, 2^40001688001 is an apocalyptic number.

It is an amenable number.

40001688001 is a deficient number, since it is larger than the sum of its proper divisors (3776836607).

40001688001 is a wasteful number, since it uses less digits than its factorization.

40001688001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11693303.

The product of its (nonzero) digits is 1536, while the sum is 28.

The spelling of 40001688001 in words is "forty billion, one million, six hundred eighty-eight thousand, one".