40303200230304 has 144 divisors (see below), whose sum is σ = 116336610028800. Its totient is φ = 12207991628800.

The previous prime is 40303200230297. The next prime is 40303200230407.

40303200230304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 27143644 + ... + 28589924.

It is an arithmetic number, because the mean of its divisors is an integer number (807893125200).

Almost surely, 2^{40303200230304} is an apocalyptic number.

40303200230304 is a gapful number since it is divisible by the number (44) 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 40303200230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58168305014400).

40303200230304 is an abundant number, since it is smaller than the sum of its proper divisors (76033409798496).

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

40303200230304 is a wasteful number, since it uses less digits than its factorization.

40303200230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448715 (or 1448696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 40303200 and 230304, that added together give a palindrome (40533504).

The spelling of 40303200230304 in words is "forty trillion, three hundred three billion, two hundred million, two hundred thirty thousand, three hundred four".