40528182240 has 1728 divisors, whose sum is σ = 193119728256. Its totient is φ = 7629963264.

The previous prime is 40528182239. The next prime is 40528182241. The reversal of 40528182240 is 4228182504.

40528182240 is a `hidden beast` number, since 405 + 2 + 8 + 1 + 8 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (40528182239) and next prime (40528182241).

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 = 40528182195 and 40528182204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40528182241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 358656424 + ... + 358656536.

It is an arithmetic number, because the mean of its divisors is an integer number (111759102).

Almost surely, 2^40528182240 is an apocalyptic number.

40528182240 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 40528182240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96559864128).

40528182240 is an abundant number, since it is smaller than the sum of its proper divisors (152591546016).

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

40528182240 is a wasteful number, since it uses less digits than its factorization.

40528182240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 40528182240 in words is "forty billion, five hundred twenty-eight million, one hundred eighty-two thousand, two hundred forty".