40346406090 has 24 divisors (see below), whose sum is σ = 104900656068. Its totient is φ = 10759041600.

The previous prime is 40346406029. The next prime is 40346406097. The reversal of 40346406090 is 9060464304.

40346406090 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 6 + 40 + 609 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37790193609 + 2556212481 = 194397^2 + 50559^2 .

It is not an unprimeable number, because it can be changed into a prime (40346406097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224146611 + ... + 224146790.

Almost surely, 2^40346406090 is an apocalyptic number.

40346406090 is an abundant number, since it is smaller than the sum of its proper divisors (64554249978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40346406090 is a wasteful number, since it uses less digits than its factorization.

40346406090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448293414 (or 448293411 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40346406090 in words is "forty billion, three hundred forty-six million, four hundred six thousand, ninety".