40275193848768 has 336 divisors, whose sum is σ = 123832798003200. Its totient is φ = 12477240207360.

The previous prime is 40275193848719. The next prime is 40275193848797. The reversal of 40275193848768 is 86784839157204.

It is a happy number.

40275193848768 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 51 + 9 + 38 + 487 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40275193848696 and 40275193848705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255605913 + ... + 255763431.

It is a 1-persistent number, because it is pandigital, but 2⋅40275193848768 = 80550387697536 is not.

Almost surely, 2^{40275193848768} is an apocalyptic number.

40275193848768 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 40275193848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916399001600).

40275193848768 is an abundant number, since it is smaller than the sum of its proper divisors (83557604154432).

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

40275193848768 is a wasteful number, since it uses less digits than its factorization.

40275193848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158000 (or 157987 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 40275193848768 in words is "forty trillion, two hundred seventy-five billion, one hundred ninety-three million, eight hundred forty-eight thousand, seven hundred sixty-eight".