40401808100 has 72 divisors (see below), whose sum is σ = 88777208520. Its totient is φ = 15957483520.

The previous prime is 40401808079. The next prime is 40401808141. The reversal of 40401808100 is 180810404.

It can be written as a sum of positive squares in 12 ways, for example, as 2954139904 + 37447668196 = 54352^2 + 193514^2 .

It is a super-2 number, since 2×40401808100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40401808100.

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, 7624652 + ... + 7629948.

It is an arithmetic number, because the mean of its divisors is an integer number (1233016785).

Almost surely, 2^40401808100 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 40401808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44388604260).

40401808100 is an abundant number, since it is smaller than the sum of its proper divisors (48375400420).

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

40401808100 is a wasteful number, since it uses less digits than its factorization.

40401808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 40401808100 in words is "forty billion, four hundred one million, eight hundred eight thousand, one hundred".