40272567336 has 128 divisors (see below), whose sum is σ = 112677062400. Its totient is φ = 13327441920.

The previous prime is 40272567323. The next prime is 40272567341. The reversal of 40272567336 is 63376527204.

40272567336 is a `hidden beast` number, since 40 + 27 + 256 + 7 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40272567291 and 40272567300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39061141 + ... + 39062171.

It is an arithmetic number, because the mean of its divisors is an integer number (880289550).

Almost surely, 2^40272567336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40272567336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56338531200).

40272567336 is an abundant number, since it is smaller than the sum of its proper divisors (72404495064).

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

40272567336 is a wasteful number, since it uses less digits than its factorization.

40272567336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 40272567336 in words is "forty billion, two hundred seventy-two million, five hundred sixty-seven thousand, three hundred thirty-six".