40355224000 has 336 divisors, whose sum is σ = 125215009920. Its totient is φ = 12770150400.

The previous prime is 40355223991. The next prime is 40355224001. The reversal of 40355224000 is 42255304.

40355224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40355224001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5092041 + ... + 5099959.

It is an arithmetic number, because the mean of its divisors is an integer number (372663720).

Almost surely, 2^40355224000 is an apocalyptic number.

40355224000 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 40355224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62607504960).

40355224000 is an abundant number, since it is smaller than the sum of its proper divisors (84859785920).

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

40355224000 is a wasteful number, since it uses less digits than its factorization.

40355224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 40355224000 its reverse (42255304), we get a palindrome (40397479304).

The spelling of 40355224000 in words is "forty billion, three hundred fifty-five million, two hundred twenty-four thousand".