40818032640 has 720 divisors, whose sum is σ = 176658693120. Its totient is φ = 8469872640.

The previous prime is 40818032623. The next prime is 40818032657. The reversal of 40818032640 is 4623081804.

40818032640 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 8 + 0 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (40818032623) and next prime (40818032657).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×40818032640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 40818032595 and 40818032604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56770201 + ... + 56770919.

It is an arithmetic number, because the mean of its divisors is an integer number (245359296).

Almost surely, 2^40818032640 is an apocalyptic number.

40818032640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40818032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88329346560).

40818032640 is an abundant number, since it is smaller than the sum of its proper divisors (135840660480).

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

40818032640 is a wasteful number, since it uses less digits than its factorization.

40818032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40818032640 in words is "forty billion, eight hundred eighteen million, thirty-two thousand, six hundred forty".