40279745645568 has 1056 divisors, whose sum is σ = 141667896674304. Its totient is φ = 10855710720000.

The previous prime is 40279745645521. The next prime is 40279745645591. The reversal of 40279745645568 is 86554654797204.

40279745645568 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 9 + 7 + 4 + 5 + 64 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 = 40279745645496 and 40279745645505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9845939203 + ... + 9845943293.

It is an arithmetic number, because the mean of its divisors is an integer number (134155205184).

Almost surely, 2^{40279745645568} is an apocalyptic number.

40279745645568 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 40279745645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70833948337152).

40279745645568 is an abundant number, since it is smaller than the sum of its proper divisors (101388151028736).

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

40279745645568 is a wasteful number, since it uses less digits than its factorization.

40279745645568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 40279745645568 in words is "forty trillion, two hundred seventy-nine billion, seven hundred forty-five million, six hundred forty-five thousand, five hundred sixty-eight".