4225435042400 has 144 divisors (see below), whose sum is σ = 12118725320688. Its totient is φ = 1418327808000.

The previous prime is 4225435042363. The next prime is 4225435042447. The reversal of 4225435042400 is 42405345224.

4225435042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18353411 + ... + 18582210.

It is an arithmetic number, because the mean of its divisors is an integer number (84157814727).

Almost surely, 2^{4225435042400} is an apocalyptic number.

4225435042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4225435042400 is an abundant number, since it is smaller than the sum of its proper divisors (7893290278288).

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

4225435042400 is a wasteful number, since it uses less digits than its factorization.

4225435042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36935665 (or 36935652 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The spelling of 4225435042400 in words is "four trillion, two hundred twenty-five billion, four hundred thirty-five million, forty-two thousand, four hundred".