40384789167888 has 480 divisors, whose sum is σ = 132064579325952. Its totient is φ = 11836095321600.

The previous prime is 40384789167841. The next prime is 40384789167893. The reversal of 40384789167888 is 88876198748304.

40384789167888 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 478 + 9 + 1 + 67 + 8 + 88 = 666.

It is a super-2 number, since 2×40384789167888² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2528307870 + ... + 2528323842.

Almost surely, 2^{40384789167888} is an apocalyptic number.

40384789167888 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 40384789167888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66032289662976).

40384789167888 is an abundant number, since it is smaller than the sum of its proper divisors (91679790158064).

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

40384789167888 is a wasteful number, since it uses less digits than its factorization.

40384789167888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17945 (or 17927 counting only the distinct ones).

The product of its (nonzero) digits is 4161798144, while the sum is 81.

The spelling of 40384789167888 in words is "forty trillion, three hundred eighty-four billion, seven hundred eighty-nine million, one hundred sixty-seven thousand, eight hundred eighty-eight".