40820161536 has 1056 divisors, whose sum is σ = 159655781376. Its totient is φ = 9732096000.

The previous prime is 40820161511. The next prime is 40820161549. The reversal of 40820161536 is 63516102804.

It is a happy number.

40820161536 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 0 + 1 + 615 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40820161536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 669182946 + ... + 669183006.

Almost surely, 2^40820161536 is an apocalyptic number.

40820161536 is a gapful number since it is divisible by the number (46) 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 40820161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79827890688).

40820161536 is an abundant number, since it is smaller than the sum of its proper divisors (118835619840).

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

40820161536 is a wasteful number, since it uses less digits than its factorization.

40820161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 40820161536 in words is "forty billion, eight hundred twenty million, one hundred sixty-one thousand, five hundred thirty-six".