40963128192 has 1008 divisors, whose sum is σ = 156071481120. Its totient is φ = 10659962880.

The previous prime is 40963128103. The next prime is 40963128197. The reversal of 40963128192 is 29182136904.

40963128192 is a `hidden beast` number, since 4 + 0 + 9 + 631 + 2 + 8 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40963128197) by changing a digit.

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 125 ways as a sum of consecutive naturals, for example, 1321391217 + ... + 1321391247.

Almost surely, 2^40963128192 is an apocalyptic number.

40963128192 is a gapful number since it is divisible by the number (42) 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 40963128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78035740560).

40963128192 is an abundant number, since it is smaller than the sum of its proper divisors (115108352928).

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

40963128192 is an equidigital number, since it uses as much as digits as its factorization.

40963128192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 40963128192 in words is "forty billion, nine hundred sixty-three million, one hundred twenty-eight thousand, one hundred ninety-two".