4025358720000 has 880 divisors, whose sum is σ = 14967734416800. Its totient is φ = 1068318720000.

The previous prime is 4025358719953. The next prime is 4025358720013. The reversal of 4025358720000 is 278535204.

4025358720000 is a `hidden beast` number, since 4 + 0 + 2 + 53 + 587 + 20 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4855679586 + ... + 4855680414.

It is an arithmetic number, because the mean of its divisors is an integer number (17008789110).

Almost surely, 2^{4025358720000} is an apocalyptic number.

4025358720000 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 4025358720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483867208400).

4025358720000 is an abundant number, since it is smaller than the sum of its proper divisors (10942375696800).

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

4025358720000 is an equidigital number, since it uses as much as digits as its factorization.

4025358720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 4025358720000 in words is "four trillion, twenty-five billion, three hundred fifty-eight million, seven hundred twenty thousand".