40389475968 has 96 divisors (see below), whose sum is σ = 116338996800. Its totient is φ = 13449945600.

The previous prime is 40389475957. The next prime is 40389475969. The reversal of 40389475968 is 86957498304.

40389475968 is a `hidden beast` number, since 4 + 0 + 38 + 9 + 4 + 7 + 596 + 8 = 666.

40389475968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (40389475969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194073 + ... + 1227431.

It is an arithmetic number, because the mean of its divisors is an integer number (1211864550).

Almost surely, 2^40389475968 is an apocalyptic number.

40389475968 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 40389475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58169498400).

40389475968 is an abundant number, since it is smaller than the sum of its proper divisors (75949520832).

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

40389475968 is a wasteful number, since it uses less digits than its factorization.

40389475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34430 (or 34415 counting only the distinct ones).

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

The spelling of 40389475968 in words is "forty billion, three hundred eighty-nine million, four hundred seventy-five thousand, nine hundred sixty-eight".