940213312049 has 32 divisors (see below), whose sum is σ = 1070379048960. Its totient is φ = 818120620800.

The previous prime is 940213312043. The next prime is 940213312069.

940213312049 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 940213312049 - 2¹⁶ = 940213246513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (940213312043) 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, 29030537 + ... + 29062905.

It is an arithmetic number, because the mean of its divisors is an integer number (33449345280).

Almost surely, 2^940213312049 is an apocalyptic number.

It is an amenable number.

940213312049 is a deficient number, since it is larger than the sum of its proper divisors (130165736911).

940213312049 is a wasteful number, since it uses less digits than its factorization.

940213312049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33341.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 940213312049 in words is "nine hundred forty billion, two hundred thirteen million, three hundred twelve thousand, forty-nine".