40123607087808 has 336 divisors, whose sum is σ = 120779363053440. Its totient is φ = 12721340915712.

The previous prime is 40123607087807. The next prime is 40123607087821. The reversal of 40123607087808 is 80878070632104.

It is a happy number.

40123607087808 is a `hidden beast` number, since 4 + 0 + 1 + 23 + 607 + 0 + 8 + 7 + 8 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (40123607087807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312817353 + ... + 312945591.

It is an arithmetic number, because the mean of its divisors is an integer number (359462390040).

Almost surely, 2^{40123607087808} is an apocalyptic number.

40123607087808 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 40123607087808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60389681526720).

40123607087808 is an abundant number, since it is smaller than the sum of its proper divisors (80655755965632).

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

40123607087808 is a wasteful number, since it uses less digits than its factorization.

40123607087808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128624 (or 128611 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 40123607087808 in words is "forty trillion, one hundred twenty-three billion, six hundred seven million, eighty-seven thousand, eight hundred eight".