40178317750368 has 384 divisors, whose sum is σ = 128985354021888. Its totient is φ = 10689189249024.

The previous prime is 40178317750349. The next prime is 40178317750391. The reversal of 40178317750368 is 86305771387104.

It is a super-2 number, since 2×40178317750368² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5100709246 + ... + 5100717122.

It is an arithmetic number, because the mean of its divisors is an integer number (335899359432).

Almost surely, 2^{40178317750368} is an apocalyptic number.

40178317750368 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 40178317750368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64492677010944).

40178317750368 is an abundant number, since it is smaller than the sum of its proper divisors (88807036271520).

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

40178317750368 is a wasteful number, since it uses less digits than its factorization.

40178317750368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 60.

The spelling of 40178317750368 in words is "forty trillion, one hundred seventy-eight billion, three hundred seventeen million, seven hundred fifty thousand, three hundred sixty-eight".