40182337440 has 480 divisors, whose sum is σ = 166462902144. Its totient is φ = 8935557120.

The previous prime is 40182337399. The next prime is 40182337469. The reversal of 40182337440 is 4473328104.

40182337440 is a `hidden beast` number, since 4 + 0 + 182 + 3 + 37 + 440 = 666.

40182337440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×40182337440² (a number of 22 digits) contains 22 as substring.

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 = 40182337395 and 40182337404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3350655 + ... + 3362625.

Almost surely, 2^40182337440 is an apocalyptic number.

40182337440 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 40182337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83231451072).

40182337440 is an abundant number, since it is smaller than the sum of its proper divisors (126280564704).

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

40182337440 is a wasteful number, since it uses less digits than its factorization.

40182337440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12042 (or 12025 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40182337440 in words is "forty billion, one hundred eighty-two million, three hundred thirty-seven thousand, four hundred forty".