40305300000 has 576 divisors, whose sum is σ = 160167248640. Its totient is φ = 8663040000.

The previous prime is 40305299989. The next prime is 40305300011. The reversal of 40305300000 is 350304.

It is an interprime number because it is at equal distance from previous prime (40305299989) and next prime (40305300011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35699436 + ... + 35700564.

It is an arithmetic number, because the mean of its divisors is an integer number (278068140).

Almost surely, 2^40305300000 is an apocalyptic number.

40305300000 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 40305300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80083624320).

40305300000 is an abundant number, since it is smaller than the sum of its proper divisors (119861948640).

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

40305300000 is a wasteful number, since it uses less digits than its factorization.

40305300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 40305300000 its reverse (350304), we get a palindrome (40305650304).

The spelling of 40305300000 in words is "forty billion, three hundred five million, three hundred thousand".