40311011304 has 96 divisors (see below), whose sum is σ = 112691280000. Its totient is φ = 13007972736.

The previous prime is 40311011291. The next prime is 40311011347.

40311011304 is a `hidden beast` number, since 40 + 311 + 0 + 11 + 304 = 666.

40311011304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492117 + ... + 568155.

It is an arithmetic number, because the mean of its divisors is an integer number (1173867500).

Almost surely, 2^40311011304 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 40311011304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56345640000).

40311011304 is an abundant number, since it is smaller than the sum of its proper divisors (72380268696).

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

40311011304 is a wasteful number, since it uses less digits than its factorization.

40311011304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76287 (or 76280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 403110 and 11304, that added together give a palindrome (414414).

The spelling of 40311011304 in words is "forty billion, three hundred eleven million, eleven thousand, three hundred four".