40508375040 has 720 divisors, whose sum is σ = 164881446912. Its totient is φ = 9007792128.

The previous prime is 40508375029. The next prime is 40508375059. The reversal of 40508375040 is 4057380504.

40508375040 is a `hidden beast` number, since 40 + 508 + 3 + 75 + 0 + 40 = 666.

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

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 = 40508374986 and 40508375004.

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, 242565037 + ... + 242565203.

Almost surely, 2^40508375040 is an apocalyptic number.

40508375040 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 40508375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82440723456).

40508375040 is an abundant number, since it is smaller than the sum of its proper divisors (124373071872).

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

40508375040 is a wasteful number, since it uses less digits than its factorization.

40508375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 40508375040 in words is "forty billion, five hundred eight million, three hundred seventy-five thousand, forty".