425017152000 has 1280 divisors, whose sum is σ = 1840292213760. Its totient is φ = 94666752000.

The previous prime is 425017151983. The next prime is 425017152059. The reversal of 425017152000 is 251710524.

425017152000 is a `hidden beast` number, since 4 + 2 + 501 + 7 + 152 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×425017152000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 495935572 + ... + 495936428.

It is an arithmetic number, because the mean of its divisors is an integer number (1437728292).

Almost surely, 2^425017152000 is an apocalyptic number.

425017152000 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 425017152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920146106880).

425017152000 is an abundant number, since it is smaller than the sum of its proper divisors (1415275061760).

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

425017152000 is an equidigital number, since it uses as much as digits as its factorization.

425017152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 425017152000 its reverse (251710524), we get a palindrome (425268862524).

The spelling of 425017152000 in words is "four hundred twenty-five billion, seventeen million, one hundred fifty-two thousand".