40242400420 has 48 divisors (see below), whose sum is σ = 87547345200. Its totient is φ = 15519813120.

The previous prime is 40242400417. The next prime is 40242400421. The reversal of 40242400420 is 2400424204.

It can be written as a sum of positive squares in 8 ways, for example, as 263997504 + 39978402916 = 16248^2 + 199946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40242400391 and 40242400400.

It is not an unprimeable number, because it can be changed into a prime (40242400421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362290 + ... + 460150.

It is an arithmetic number, because the mean of its divisors is an integer number (1823903025).

Almost surely, 2^40242400420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40242400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43773672600).

40242400420 is an abundant number, since it is smaller than the sum of its proper divisors (47304944780).

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

40242400420 is a wasteful number, since it uses less digits than its factorization.

40242400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98608 (or 98606 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40242400420 its reverse (2400424204), we get a palindrome (42642824624).

The spelling of 40242400420 in words is "forty billion, two hundred forty-two million, four hundred thousand, four hundred twenty".