321141122320440 has 64 divisors (see below), whose sum is σ = 963424833730560. Its totient is φ = 85637502239360.

The previous prime is 321141122320427. The next prime is 321141122320453. The reversal of 321141122320440 is 44023221141123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (321141122320427) and next prime (321141122320453).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 321141122320398 and 321141122320407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97149625 + ... + 100400855.

It is an arithmetic number, because the mean of its divisors is an integer number (15053513027040).

Almost surely, 2^{321141122320440} is an apocalyptic number.

321141122320440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321141122320440 is an abundant number, since it is smaller than the sum of its proper divisors (642283711410120).

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

321141122320440 is a wasteful number, since it uses less digits than its factorization.

321141122320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074372 (or 4074368 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 321141122320440 its reverse (44023221141123), we get a palindrome (365164343461563).

The spelling of 321141122320440 in words is "three hundred twenty-one trillion, one hundred forty-one billion, one hundred twenty-two million, three hundred twenty thousand, four hundred forty".