40407007036013 has 2 divisors, whose sum is σ = 40407007036014. Its totient is φ = 40407007036012.

The previous prime is 40407007035971. The next prime is 40407007036069. The reversal of 40407007036013 is 31063070070404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25263219220009 + 15143787816004 = 5026253^2 + 3891502^2 .

It is a cyclic number.

It is not a de Polignac number, because 40407007036013 - 2²⁶ = 40406939927149 is a prime.

It is a super-3 number, since 3×40407007036013³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40407007036313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20203503518006 + 20203503518007.

It is an arithmetic number, because the mean of its divisors is an integer number (20203503518007).

Almost surely, 2^{40407007036013} is an apocalyptic number.

It is an amenable number.

40407007036013 is a deficient number, since it is larger than the sum of its proper divisors (1).

40407007036013 is an equidigital number, since it uses as much as digits as its factorization.

40407007036013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 40407007036013 in words is "forty trillion, four hundred seven billion, seven million, thirty-six thousand, thirteen".