40018384140768 has 192 divisors, whose sum is σ = 127377759479040. Its totient is φ = 12122350963200.

The previous prime is 40018384140751. The next prime is 40018384140781. The reversal of 40018384140768 is 86704148381004.

40018384140768 is a `hidden beast` number, since 40 + 0 + 18 + 384 + 140 + 76 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25282371 + ... + 26818557.

It is an arithmetic number, because the mean of its divisors is an integer number (663425830620).

Almost surely, 2^{40018384140768} is an apocalyptic number.

40018384140768 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 40018384140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63688879739520).

40018384140768 is an abundant number, since it is smaller than the sum of its proper divisors (87359375338272).

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

40018384140768 is a wasteful number, since it uses less digits than its factorization.

40018384140768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538958 (or 1538944 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 40018384140768 in words is "forty trillion, eighteen billion, three hundred eighty-four million, one hundred forty thousand, seven hundred sixty-eight".