40275895680 has 640 divisors, whose sum is σ = 148995586080. Its totient is φ = 10362912768.

The previous prime is 40275895663. The next prime is 40275895721. The reversal of 40275895680 is 8659857204.

40275895680 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 589 + 56 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 293984572 + ... + 293984708.

Almost surely, 2^40275895680 is an apocalyptic number.

40275895680 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 40275895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74497793040).

40275895680 is an abundant number, since it is smaller than the sum of its proper divisors (108719690400).

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

40275895680 is a wasteful number, since it uses less digits than its factorization.

40275895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 40275895680 in words is "forty billion, two hundred seventy-five million, eight hundred ninety-five thousand, six hundred eighty".