40101096 has 128 divisors (see below), whose sum is σ = 127872000. Its totient is φ = 10202112.

The previous prime is 40101091. The next prime is 40101109. The reversal of 40101096 is 69010104.

40101096 = T₃₂₈ + T₃₂₉ + ... + T₆₅₀.

40101096 is nontrivially palindromic in base 11.

40101096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (40101091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53895 + ... + 54633.

It is an arithmetic number, because the mean of its divisors is an integer number (999000).

Almost surely, 2^40101096 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 40101096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63936000).

40101096 is an abundant number, since it is smaller than the sum of its proper divisors (87770904).

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

40101096 is a wasteful number, since it uses less digits than its factorization.

40101096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 40101096 is about 6332.5426173063. The cubic root of 40101096 is about 342.2830664916.

The spelling of 40101096 in words is "forty million, one hundred one thousand, ninety-six".