40225315232520 has 768 divisors, whose sum is σ = 152965135065600. Its totient is φ = 9068075089920.

The previous prime is 40225315232507. The next prime is 40225315232533. The reversal of 40225315232520 is 2523251352204.

It is a happy number.

40225315232520 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 53 + 1 + 52 + 32 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (40225315232507) and next prime (40225315232533).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4815668664 + ... + 4815677016.

It is an arithmetic number, because the mean of its divisors is an integer number (199173352950).

Almost surely, 2^{40225315232520} is an apocalyptic number.

40225315232520 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 40225315232520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76482567532800).

40225315232520 is an abundant number, since it is smaller than the sum of its proper divisors (112739819833080).

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

40225315232520 is a wasteful number, since it uses less digits than its factorization.

40225315232520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 40225315232520 its reverse (2523251352204), we get a palindrome (42748566584724).

The spelling of 40225315232520 in words is "forty trillion, two hundred twenty-five billion, three hundred fifteen million, two hundred thirty-two thousand, five hundred twenty".