321425641152 has 1568 divisors, whose sum is σ = 1333651668480. Its totient is φ = 74171842560.

The previous prime is 321425641129. The next prime is 321425641153. The reversal of 321425641152 is 251146524123.

321425641152 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 2 + 5 + 641 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (321425641153) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1160381238 + ... + 1160381514.

Almost surely, 2^321425641152 is an apocalyptic number.

321425641152 is a gapful number since it is divisible by the number (32) 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 321425641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666825834240).

321425641152 is an abundant number, since it is smaller than the sum of its proper divisors (1012226027328).

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

321425641152 is a wasteful number, since it uses less digits than its factorization.

321425641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 336 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 321425641152 in words is "three hundred twenty-one billion, four hundred twenty-five million, six hundred forty-one thousand, one hundred fifty-two".