40875911136 has 288 divisors, whose sum is σ = 124540416000. Its totient is φ = 12680478720.

The previous prime is 40875911129. The next prime is 40875911177. The reversal of 40875911136 is 63111957804.

40875911136 is a `hidden beast` number, since 40 + 8 + 7 + 591 + 1 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40875911136² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40875911091 and 40875911100.

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, 91037440 + ... + 91037888.

It is an arithmetic number, because the mean of its divisors is an integer number (432432000).

Almost surely, 2^40875911136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40875911136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208000).

40875911136 is an abundant number, since it is smaller than the sum of its proper divisors (83664504864).

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

40875911136 is a wasteful number, since it uses less digits than its factorization.

40875911136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 40875911136 in words is "forty billion, eight hundred seventy-five million, nine hundred eleven thousand, one hundred thirty-six".