40953813552 has 120 divisors (see below), whose sum is σ = 121992549120. Its totient is φ = 12780840960.

The previous prime is 40953813499. The next prime is 40953813553. The reversal of 40953813552 is 25531835904.

40953813552 is a `hidden beast` number, since 4 + 0 + 95 + 3 + 8 + 1 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40953813498 and 40953813507.

It is not an unprimeable number, because it can be changed into a prime (40953813553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423774 + ... + 511362.

It is an arithmetic number, because the mean of its divisors is an integer number (1016604576).

Almost surely, 2^40953813552 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 40953813552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60996274560).

40953813552 is an abundant number, since it is smaller than the sum of its proper divisors (81038735568).

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

40953813552 is a wasteful number, since it uses less digits than its factorization.

40953813552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87811 (or 87802 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 40953813552 in words is "forty billion, nine hundred fifty-three million, eight hundred thirteen thousand, five hundred fifty-two".