40033714848768 has 176 divisors, whose sum is σ = 118588591604160. Its totient is φ = 13341409247232.

The previous prime is 40033714848767. The next prime is 40033714848811. The reversal of 40033714848768 is 86784841733004.

40033714848768 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 3 + 7 + 148 + 487 + 6 + 8 = 666.

It is a super-2 number, since 2×40033714848768² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40033714848763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117970471 + ... + 118309337.

Almost surely, 2^{40033714848768} is an apocalyptic number.

40033714848768 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 40033714848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59294295802080).

40033714848768 is an abundant number, since it is smaller than the sum of its proper divisors (78554876755392).

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

40033714848768 is a wasteful number, since it uses less digits than its factorization.

40033714848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343169 (or 343145 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 40033714848768 in words is "forty trillion, thirty-three billion, seven hundred fourteen million, eight hundred forty-eight thousand, seven hundred sixty-eight".