40774906305 has 240 divisors, whose sum is σ = 88360170624. Its totient is φ = 17923368960.

The previous prime is 40774906229. The next prime is 40774906369. The reversal of 40774906305 is 50360947704.

40774906305 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 4 + 9 + 0 + 630 + 5 = 666.

It is not a de Polignac number, because 40774906305 - 2⁷ = 40774906177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 60586449 + ... + 60587121.

Almost surely, 2^40774906305 is an apocalyptic number.

40774906305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40774906305 is an abundant number, since it is smaller than the sum of its proper divisors (47585264319).

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

40774906305 is a wasteful number, since it uses less digits than its factorization.

40774906305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 40774906305 in words is "forty billion, seven hundred seventy-four million, nine hundred six thousand, three hundred five".