40332410400 has 288 divisors, whose sum is σ = 133303218048. Its totient is φ = 10591027200.

The previous prime is 40332410389. The next prime is 40332410401. The reversal of 40332410400 is 401423304.

It is not an unprimeable number, because it can be changed into a prime (40332410401) 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, 59574862 + ... + 59575538.

It is an arithmetic number, because the mean of its divisors is an integer number (462858396).

Almost surely, 2^40332410400 is an apocalyptic number.

40332410400 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 40332410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66651609024).

40332410400 is an abundant number, since it is smaller than the sum of its proper divisors (92970807648).

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

40332410400 is a wasteful number, since it uses less digits than its factorization.

40332410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 40332410400 its reverse (401423304), we get a palindrome (40733833704).

The spelling of 40332410400 in words is "forty billion, three hundred thirty-two million, four hundred ten thousand, four hundred".