40106593800 has 768 divisors, whose sum is σ = 180063475200. Its totient is φ = 7962624000.

The previous prime is 40106593733. The next prime is 40106593819. The reversal of 40106593800 is 839560104.

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

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 191 ways as a sum of consecutive naturals, for example, 8351400 + ... + 8356200.

It is an arithmetic number, because the mean of its divisors is an integer number (234457650).

Almost surely, 2^40106593800 is an apocalyptic number.

40106593800 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 40106593800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90031737600).

40106593800 is an abundant number, since it is smaller than the sum of its proper divisors (139956881400).

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

40106593800 is a wasteful number, since it uses less digits than its factorization.

40106593800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 40106593800 in words is "forty billion, one hundred six million, five hundred ninety-three thousand, eight hundred".