40126591008 has 288 divisors, whose sum is σ = 137206742400. Its totient is φ = 10880851968.

The previous prime is 40126590967. The next prime is 40126591027. The reversal of 40126591008 is 80019562104.

40126591008 is a `hidden beast` number, since 40 + 1 + 26 + 591 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40126591008² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3443560 + ... + 3455192.

It is an arithmetic number, because the mean of its divisors is an integer number (476412300).

Almost surely, 2^40126591008 is an apocalyptic number.

40126591008 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 40126591008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68603371200).

40126591008 is an abundant number, since it is smaller than the sum of its proper divisors (97080151392).

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

40126591008 is a wasteful number, since it uses less digits than its factorization.

40126591008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11744 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 40126591008 in words is "forty billion, one hundred twenty-six million, five hundred ninety-one thousand, eight".