40968885888 has 1024 divisors, whose sum is σ = 158630400000. Its totient is φ = 10339467264.

The previous prime is 40968885883. The next prime is 40968885901. The reversal of 40968885888 is 88858886904.

40968885888 is a `hidden beast` number, since 409 + 68 + 8 + 85 + 8 + 88 = 666.

It is a super-2 number, since 2×40968885888² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40968885883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382886731 + ... + 382886837.

It is an arithmetic number, because the mean of its divisors is an integer number (154912500).

Almost surely, 2^40968885888 is an apocalyptic number.

40968885888 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 40968885888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200000).

40968885888 is an abundant number, since it is smaller than the sum of its proper divisors (117661514112).

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

40968885888 is a wasteful number, since it uses less digits than its factorization.

40968885888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 72.

The spelling of 40968885888 in words is "forty billion, nine hundred sixty-eight million, eight hundred eighty-five thousand, eight hundred eighty-eight".