40869384192 has 832 divisors, whose sum is σ = 155002552320. Its totient is φ = 10351411200.

The previous prime is 40869384167. The next prime is 40869384197. The reversal of 40869384192 is 29148396804.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40869384197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311979967 + ... + 311980097.

Almost surely, 2^40869384192 is an apocalyptic number.

40869384192 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 40869384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77501276160).

40869384192 is an abundant number, since it is smaller than the sum of its proper divisors (114133168128).

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

40869384192 is a wasteful number, since it uses less digits than its factorization.

40869384192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 40869384192 in words is "forty billion, eight hundred sixty-nine million, three hundred eighty-four thousand, one hundred ninety-two".