40505304000 has 448 divisors, whose sum is σ = 153479918592. Its totient is φ = 9220608000.

The previous prime is 40505303999. The next prime is 40505304017. The reversal of 40505304000 is 40350504.

It is a happy number.

40505304000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77447739 + ... + 77448261.

It is an arithmetic number, because the mean of its divisors is an integer number (342589104).

Almost surely, 2^40505304000 is an apocalyptic number.

40505304000 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 40505304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76739959296).

40505304000 is an abundant number, since it is smaller than the sum of its proper divisors (112974614592).

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

40505304000 is a wasteful number, since it uses less digits than its factorization.

40505304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

Adding to 40505304000 its reverse (40350504), we get a palindrome (40545654504).

The spelling of 40505304000 in words is "forty billion, five hundred five million, three hundred four thousand".