945425282400 has 144 divisors (see below), whose sum is σ = 3419288182800. Its totient is φ = 252113402880.

The previous prime is 945425282393. The next prime is 945425282423. The reversal of 945425282400 is 4282524549.

945425282400 is a `hidden beast` number, since 9 + 45 + 42 + 528 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×945425282400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21863245 + ... + 21906444.

It is an arithmetic number, because the mean of its divisors is an integer number (23745056825).

Almost surely, 2^945425282400 is an apocalyptic number.

945425282400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

945425282400 is an abundant number, since it is smaller than the sum of its proper divisors (2473862900400).

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

945425282400 is a wasteful number, since it uses less digits than its factorization.

945425282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43769718 (or 43769699 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 945425282400 in words is "nine hundred forty-five billion, four hundred twenty-five million, two hundred eighty-two thousand, four hundred".