424286748000 has 960 divisors, whose sum is σ = 1660886555328. Its totient is φ = 106151731200.

The previous prime is 424286747923. The next prime is 424286748001. The reversal of 424286748000 is 847682424.

424286748000 is a `hidden beast` number, since 424 + 2 + 86 + 74 + 80 + 0 + 0 = 666.

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 (424286748001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1338443842 + ... + 1338444158.

Almost surely, 2^424286748000 is an apocalyptic number.

424286748000 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 424286748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830443277664).

424286748000 is an abundant number, since it is smaller than the sum of its proper divisors (1236599807328).

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

424286748000 is an frugal number, since it uses more digits than its factorization.

424286748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 424286748000 in words is "four hundred twenty-four billion, two hundred eighty-six million, seven hundred forty-eight thousand".