425587738128000 has 1024 divisors, whose sum is σ = 1620684523560960. Its totient is φ = 96776294400000.

The previous prime is 425587738127999. The next prime is 425587738128011. The reversal of 425587738128000 is 821837785524.

It is a super-2 number, since 2×425587738128000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 166831726725 + ... + 166831729275.

It is an arithmetic number, because the mean of its divisors is an integer number (1582699730040).

Almost surely, 2^{425587738128000} is an apocalyptic number.

425587738128000 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 425587738128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810342261780480).

425587738128000 is an abundant number, since it is smaller than the sum of its proper divisors (1195096785432960).

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

425587738128000 is a wasteful number, since it uses less digits than its factorization.

425587738128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 60.

The spelling of 425587738128000 in words is "four hundred twenty-five trillion, five hundred eighty-seven billion, seven hundred thirty-eight million, one hundred twenty-eight thousand".