40378945968 has 120 divisors (see below), whose sum is σ = 116144316288. Its totient is φ = 13086268416.

The previous prime is 40378945967. The next prime is 40378945973. The reversal of 40378945968 is 86954987304.

40378945968 is a `hidden beast` number, since 4 + 0 + 37 + 8 + 9 + 4 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (40378945967) 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 23 ways as a sum of consecutive naturals, for example, 12748321 + ... + 12751487.

Almost surely, 2^40378945968 is an apocalyptic number.

40378945968 is a gapful number since it is divisible by the number (48) 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 40378945968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58072158144).

40378945968 is an abundant number, since it is smaller than the sum of its proper divisors (75765370320).

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

40378945968 is a wasteful number, since it uses less digits than its factorization.

40378945968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 40378945968 in words is "forty billion, three hundred seventy-eight million, nine hundred forty-five thousand, nine hundred sixty-eight".