40448582406401 has 32 divisors (see below), whose sum is σ = 45091307953440. Its totient is φ = 36026293395456.

The previous prime is 40448582406347. The next prime is 40448582406493. The reversal of 40448582406401 is 10460428584404.

It is a Cunningham number, because it is equal to 6359920²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 39434632090000 + 1013950316401 = 6279700^2 + 1006951^2 .

It is not a de Polignac number, because 40448582406401 - 2¹⁴ = 40448582390017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40448582406401.

It is not an unprimeable number, because it can be changed into a prime (40448582406101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6323051735 + ... + 6323058131.

It is an arithmetic number, because the mean of its divisors is an integer number (1409103373545).

Almost surely, 2^{40448582406401} is an apocalyptic number.

It is an amenable number.

40448582406401 is a deficient number, since it is larger than the sum of its proper divisors (4642725547039).

40448582406401 is a wasteful number, since it uses less digits than its factorization.

40448582406401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14693.

The product of its (nonzero) digits is 3932160, while the sum is 50.

The spelling of 40448582406401 in words is "forty trillion, four hundred forty-eight billion, five hundred eighty-two million, four hundred six thousand, four hundred one".