40452483225120 has 768 divisors, whose sum is σ = 140987414937600. Its totient is φ = 9711543582720.

The previous prime is 40452483225059. The next prime is 40452483225257. The reversal of 40452483225120 is 2152238425404.

It is a happy number.

It is a super-2 number, since 2×40452483225120² (a number of 28 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 6158085196 + ... + 6158091764.

It is an arithmetic number, because the mean of its divisors is an integer number (183577363200).

Almost surely, 2^{40452483225120} is an apocalyptic number.

40452483225120 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 40452483225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70493707468800).

40452483225120 is an abundant number, since it is smaller than the sum of its proper divisors (100534931712480).

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

40452483225120 is a wasteful number, since it uses less digits than its factorization.

40452483225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 40452483225120 in words is "forty trillion, four hundred fifty-two billion, four hundred eighty-three million, two hundred twenty-five thousand, one hundred twenty".