40341120122400 has 144 divisors (see below), whose sum is σ = 131335009896384. Its totient is φ = 10755611438080.

The previous prime is 40341120122383. The next prime is 40341120122441. The reversal of 40341120122400 is 422102114304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11223277 + ... + 14375123.

It is an arithmetic number, because the mean of its divisors is an integer number (912048679836).

Almost surely, 2^{40341120122400} is an apocalyptic number.

40341120122400 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 40341120122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65667504948192).

40341120122400 is an abundant number, since it is smaller than the sum of its proper divisors (90993889773984).

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

40341120122400 is a wasteful number, since it uses less digits than its factorization.

40341120122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157203 (or 3157190 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40341120122400 its reverse (422102114304), we get a palindrome (40763222236704).

The spelling of 40341120122400 in words is "forty trillion, three hundred forty-one billion, one hundred twenty million, one hundred twenty-two thousand, four hundred".