40245176001420 has 288 divisors, whose sum is σ = 132966360596160. Its totient is φ = 9793602846720.

The previous prime is 40245176001379. The next prime is 40245176001421. The reversal of 40245176001420 is 2410067154204.

40245176001420 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 5 + 1 + 7 + 600 + 1 + 42 + 0 = 666.

40245176001420 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 (36).

It is not an unprimeable number, because it can be changed into a prime (40245176001421) 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 95 ways as a sum of consecutive naturals, for example, 1746665100 + ... + 1746688140.

It is an arithmetic number, because the mean of its divisors is an integer number (461688752070).

Almost surely, 2^{40245176001420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40245176001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66483180298080).

40245176001420 is an abundant number, since it is smaller than the sum of its proper divisors (92721184594740).

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

40245176001420 is a wasteful number, since it uses less digits than its factorization.

40245176001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31545 (or 31540 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40245176001420 in words is "forty trillion, two hundred forty-five billion, one hundred seventy-six million, one thousand, four hundred twenty".