40532450400 has 864 divisors, whose sum is σ = 162197118720. Its totient is φ = 9455616000.

The previous prime is 40532450383. The next prime is 40532450401. The reversal of 40532450400 is 405423504.

40532450400 is a `hidden beast` number, since 40 + 532 + 4 + 50 + 40 + 0 = 666.

40532450400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40532450401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176997486 + ... + 176997714.

Almost surely, 2^40532450400 is an apocalyptic number.

40532450400 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 40532450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81098559360).

40532450400 is an abundant number, since it is smaller than the sum of its proper divisors (121664668320).

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

40532450400 is a wasteful number, since it uses less digits than its factorization.

40532450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 40532450400 its reverse (405423504), we get a palindrome (40937873904).

The spelling of 40532450400 in words is "forty billion, five hundred thirty-two million, four hundred fifty thousand, four hundred".