40732566336 has 672 divisors, whose sum is σ = 153818904960. Its totient is φ = 10450944000.

The previous prime is 40732566331. The next prime is 40732566341. The reversal of 40732566336 is 63366523704.

40732566336 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 2 + 5 + 6 + 633 + 6 = 666.

40732566336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40732566331) and next prime (40732566341).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 40732566291 and 40732566300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40732566331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94070376 + ... + 94070808.

It is an arithmetic number, because the mean of its divisors is an integer number (228897180).

Almost surely, 2^40732566336 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 40732566336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76909452480).

40732566336 is an abundant number, since it is smaller than the sum of its proper divisors (113086338624).

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

40732566336 is a wasteful number, since it uses less digits than its factorization.

40732566336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 40732566336 in words is "forty billion, seven hundred thirty-two million, five hundred sixty-six thousand, three hundred thirty-six".