40155268608 has 960 divisors, whose sum is σ = 155717033472. Its totient is φ = 9661317120.

The previous prime is 40155268579. The next prime is 40155268613. The reversal of 40155268608 is 80686255104.

40155268608 is a `hidden beast` number, since 4 + 0 + 15 + 5 + 26 + 8 + 608 = 666.

It is a super-2 number, since 2×40155268608² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306528703 + ... + 306528833.

Almost surely, 2^40155268608 is an apocalyptic number.

40155268608 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 40155268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77858516736).

40155268608 is an abundant number, since it is smaller than the sum of its proper divisors (115561764864).

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

40155268608 is a wasteful number, since it uses less digits than its factorization.

40155268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 40155268608 in words is "forty billion, one hundred fifty-five million, two hundred sixty-eight thousand, six hundred eight".