40126643856 has 240 divisors, whose sum is σ = 130747256640. Its totient is φ = 11380331520.

The previous prime is 40126643839. The next prime is 40126643881. The reversal of 40126643856 is 65834662104.

40126643856 is a `hidden beast` number, since 4 + 0 + 1 + 266 + 4 + 385 + 6 = 666.

It is a super-2 number, since 2×40126643856² (a number of 22 digits) contains 22 as substring.

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, 1300771 + ... + 1331261.

It is an arithmetic number, because the mean of its divisors is an integer number (544780236).

Almost surely, 2^40126643856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40126643856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65373628320).

40126643856 is an abundant number, since it is smaller than the sum of its proper divisors (90620612784).

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

40126643856 is a wasteful number, since it uses less digits than its factorization.

40126643856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30574 (or 30565 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40126643856 in words is "forty billion, one hundred twenty-six million, six hundred forty-three thousand, eight hundred fifty-six".