40040442414401 has 64 divisors (see below), whose sum is σ = 47979791354880. Its totient is φ = 32937604128000.

The previous prime is 40040442414377. The next prime is 40040442414487. The reversal of 40040442414401 is 10441424404004.

It is not a de Polignac number, because 40040442414401 - 2¹⁴ = 40040442398017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40040442410401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 675838286 + ... + 675897528.

It is an arithmetic number, because the mean of its divisors is an integer number (749684239920).

Almost surely, 2^{40040442414401} is an apocalyptic number.

It is an amenable number.

40040442414401 is a deficient number, since it is larger than the sum of its proper divisors (7939348940479).

40040442414401 is a wasteful number, since it uses less digits than its factorization.

40040442414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59838.

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 40040442414401 its reverse (10441424404004), we get a palindrome (50481866818405).

The spelling of 40040442414401 in words is "forty trillion, forty billion, four hundred forty-two million, four hundred fourteen thousand, four hundred one".