40252414812480 has 1792 divisors, whose sum is σ = 159966991134720. Its totient is φ = 9463777689600.

The previous prime is 40252414812461. The next prime is 40252414812487. The reversal of 40252414812480 is 8421841425204.

40252414812480 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 24 + 148 + 1 + 2 + 480 = 666.

40252414812480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40252414812487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58252408935 + ... + 58252409625.

It is an arithmetic number, because the mean of its divisors is an integer number (89267294160).

Almost surely, 2^{40252414812480} is an apocalyptic number.

40252414812480 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 40252414812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79983495567360).

40252414812480 is an abundant number, since it is smaller than the sum of its proper divisors (119714576322240).

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

40252414812480 is a wasteful number, since it uses less digits than its factorization.

40252414812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 40252414812480 in words is "forty trillion, two hundred fifty-two billion, four hundred fourteen million, eight hundred twelve thousand, four hundred eighty".