321420010133040 has 640 divisors, whose sum is σ = 1253406368858112. Its totient is φ = 66334429163520.

The previous prime is 321420010132931. The next prime is 321420010133063. The reversal of 321420010133040 is 40331010024123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 321420010133040.

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, 196115209 + ... + 197747351.

Almost surely, 2^{321420010133040} is an apocalyptic number.

321420010133040 is a gapful number since it is divisible by the number (30) 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 321420010133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626703184429056).

321420010133040 is an abundant number, since it is smaller than the sum of its proper divisors (931986358725072).

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

321420010133040 is a wasteful number, since it uses less digits than its factorization.

321420010133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632377 (or 1632371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 321420010133040 its reverse (40331010024123), we get a palindrome (361751020157163).

The spelling of 321420010133040 in words is "three hundred twenty-one trillion, four hundred twenty billion, ten million, one hundred thirty-three thousand, forty".