40415225400 has 576 divisors, whose sum is σ = 162619591680. Its totient is φ = 9219225600.

The previous prime is 40415225381. The next prime is 40415225407. The reversal of 40415225400 is 452251404.

40415225400 is a `hidden beast` number, since 404 + 1 + 5 + 2 + 254 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40415225407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9085977 + ... + 9090423.

It is an arithmetic number, because the mean of its divisors is an integer number (282325680).

Almost surely, 2^40415225400 is an apocalyptic number.

40415225400 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 40415225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81309795840).

40415225400 is an abundant number, since it is smaller than the sum of its proper divisors (122204366280).

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

40415225400 is a wasteful number, since it uses less digits than its factorization.

40415225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 40415225400 its reverse (452251404), we get a palindrome (40867476804).

The spelling of 40415225400 in words is "forty billion, four hundred fifteen million, two hundred twenty-five thousand, four hundred".