40215075516 has 216 divisors, whose sum is σ = 127951754112. Its totient is φ = 10424779200.

The previous prime is 40215075503. The next prime is 40215075533. The reversal of 40215075516 is 61557051204.

40215075516 is a `hidden beast` number, since 4 + 0 + 21 + 50 + 75 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20825071 + ... + 20827001.

It is an arithmetic number, because the mean of its divisors is an integer number (592369232).

Almost surely, 2^40215075516 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 40215075516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63975877056).

40215075516 is an abundant number, since it is smaller than the sum of its proper divisors (87736678596).

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

40215075516 is a wasteful number, since it uses less digits than its factorization.

40215075516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 40215075516 in words is "forty billion, two hundred fifteen million, seventy-five thousand, five hundred sixteen".