40501733665536 has 648 divisors, whose sum is σ = 140498138512368. Its totient is φ = 11143371571200.

The previous prime is 40501733665453. The next prime is 40501733665541. The reversal of 40501733665536 is 63556633710504.

40501733665536 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 1 + 73 + 36 + 6 + 5 + 536 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 220984111 + ... + 221167313.

Almost surely, 2^{40501733665536} 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 40501733665536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70249069256184).

40501733665536 is an abundant number, since it is smaller than the sum of its proper divisors (99996404846832).

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

40501733665536 is a wasteful number, since it uses less digits than its factorization.

40501733665536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183321 (or 183293 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 54.

The spelling of 40501733665536 in words is "forty trillion, five hundred one billion, seven hundred thirty-three million, six hundred sixty-five thousand, five hundred thirty-six".