40433516640 has 144 divisors (see below), whose sum is σ = 150523014096. Its totient is φ = 9802060800.

The previous prime is 40433516633. The next prime is 40433516647. The reversal of 40433516640 is 4661533404.

40433516640 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 3 + 5 + 1 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (40433516633) and next prime (40433516647).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40433516595 and 40433516604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40433516647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260471 + ... + 1292150.

It is an arithmetic number, because the mean of its divisors is an integer number (1045298709).

Almost surely, 2^40433516640 is an apocalyptic number.

40433516640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40433516640 is an abundant number, since it is smaller than the sum of its proper divisors (110089497456).

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

40433516640 is a wasteful number, since it uses less digits than its factorization.

40433516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552653 (or 2552642 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 40433516640 in words is "forty billion, four hundred thirty-three million, five hundred sixteen thousand, six hundred forty".