40450350400 has 84 divisors (see below), whose sum is σ = 99573974080. Its totient is φ = 16173504000.

The previous prime is 40450350383. The next prime is 40450350407. The reversal of 40450350400 is 405305404.

It is a super-3 number, since 3×40450350400³ (a number of 33 digits) contains 333 as substring.

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 (40450350407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6267175 + ... + 6273625.

Almost surely, 2^40450350400 is an apocalyptic number.

40450350400 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 40450350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49786987040).

40450350400 is an abundant number, since it is smaller than the sum of its proper divisors (59123623680).

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

40450350400 is a wasteful number, since it uses less digits than its factorization.

40450350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10392 (or 10377 counting only the distinct ones).

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

Adding to 40450350400 its reverse (405305404), we get a palindrome (40855655804).

The spelling of 40450350400 in words is "forty billion, four hundred fifty million, three hundred fifty thousand, four hundred".