40260422400 has 864 divisors, whose sum is σ = 155723366400. Its totient is φ = 9057484800.

The previous prime is 40260422347. The next prime is 40260422401. The reversal of 40260422400 is 422406204.

It is a super-2 number, since 2×40260422400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40260422401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317011137 + ... + 317011263.

Almost surely, 2^40260422400 is an apocalyptic number.

40260422400 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 40260422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77861683200).

40260422400 is an abundant number, since it is smaller than the sum of its proper divisors (115462944000).

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

40260422400 is a wasteful number, since it uses less digits than its factorization.

40260422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40260422400 its reverse (422406204), we get a palindrome (40682828604).

The spelling of 40260422400 in words is "forty billion, two hundred sixty million, four hundred twenty-two thousand, four hundred".