40042024224400 has 240 divisors, whose sum is σ = 106235102393280. Its totient is φ = 14382030643200.

The previous prime is 40042024224311. The next prime is 40042024224413. The reversal of 40042024224400 is 442242024004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2077613164 + ... + 2077632436.

It is an arithmetic number, because the mean of its divisors is an integer number (442646259972).

Almost surely, 2^{40042024224400} is an apocalyptic number.

40042024224400 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 40042024224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53117551196640).

40042024224400 is an abundant number, since it is smaller than the sum of its proper divisors (66193078168880).

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

40042024224400 is a wasteful number, since it uses less digits than its factorization.

40042024224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25074 (or 25063 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40042024224400 its reverse (442242024004), we get a palindrome (40484266248404).

The spelling of 40042024224400 in words is "forty trillion, forty-two billion, twenty-four million, two hundred twenty-four thousand, four hundred".