40106176800 has 144 divisors (see below), whose sum is σ = 132013113120. Its totient is φ = 10574755840.

The previous prime is 40106176787. The next prime is 40106176867. The reversal of 40106176800 is 867160104.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119719 + ... + 307481.

It is an arithmetic number, because the mean of its divisors is an integer number (916757730).

Almost surely, 2^40106176800 is an apocalyptic number.

40106176800 is a gapful number since it is divisible by the number (40) 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 40106176800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66006556560).

40106176800 is an abundant number, since it is smaller than the sum of its proper divisors (91906936320).

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

40106176800 is a wasteful number, since it uses less digits than its factorization.

40106176800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187875 (or 187862 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 40106176800 in words is "forty billion, one hundred six million, one hundred seventy-six thousand, eight hundred".