424714752000 has 3120 divisors, whose sum is σ = 2115110162880. Its totient is φ = 83607552000.

The previous prime is 424714751987. The next prime is 424714752013. The reversal of 424714752000 is 257417424.

424714752000 is a `hidden beast` number, since 4 + 24 + 71 + 47 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (424714751987) and next prime (424714752013).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22353407991 + ... + 22353408009.

It is an arithmetic number, because the mean of its divisors is an integer number (677919924).

Almost surely, 2^424714752000 is an apocalyptic number.

424714752000 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 424714752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057555081440).

424714752000 is an abundant number, since it is smaller than the sum of its proper divisors (1690395410880).

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

424714752000 is a wasteful number, since it uses less digits than its factorization.

424714752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 424714752000 in words is "four hundred twenty-four billion, seven hundred fourteen million, seven hundred fifty-two thousand".