40235104000 has 576 divisors, whose sum is σ = 126744613632. Its totient is φ = 12386304000.

The previous prime is 40235103977. The next prime is 40235104081. The reversal of 40235104000 is 40153204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119391832 + ... + 119392168.

It is an arithmetic number, because the mean of its divisors is an integer number (220042732).

Almost surely, 2^40235104000 is an apocalyptic number.

40235104000 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 40235104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63372306816).

40235104000 is an abundant number, since it is smaller than the sum of its proper divisors (86509509632).

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

40235104000 is a wasteful number, since it uses less digits than its factorization.

40235104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 40235104000 its reverse (40153204), we get a palindrome (40275257204).

The spelling of 40235104000 in words is "forty billion, two hundred thirty-five million, one hundred four thousand".