2940431416959 has 16 divisors (see below), whose sum is σ = 4142613024000. Its totient is φ = 1850053297536.

The previous prime is 2940431416933. The next prime is 2940431416987. The reversal of 2940431416959 is 9596141340492.

It is a happy number.

It is not a de Polignac number, because 2940431416959 - 2¹⁶ = 2940431351423 is a prime.

It is a super-2 number, since 2×2940431416959² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2940431416899 and 2940431416908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940431416919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98058234 + ... + 98088215.

It is an arithmetic number, because the mean of its divisors is an integer number (258913314000).

Almost surely, 2^{2940431416959} is an apocalyptic number.

2940431416959 is a deficient number, since it is larger than the sum of its proper divisors (1202181607041).

2940431416959 is a wasteful number, since it uses less digits than its factorization.

2940431416959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196146734.

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 2940431416959 in words is "two trillion, nine hundred forty billion, four hundred thirty-one million, four hundred sixteen thousand, nine hundred fifty-nine".