331021421123040 has 72 divisors (see below), whose sum is σ = 1129610599587288. Its totient is φ = 88272378965760.

The previous prime is 331021421122981. The next prime is 331021421123083. The reversal of 331021421123040 is 40321124120133.

331021421123040 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 2 + 1 + 421 + 1 + 230 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 331021421122995 and 331021421123013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114937992006 + ... + 114937994885.

It is an arithmetic number, because the mean of its divisors is an integer number (15689036105379).

Almost surely, 2^{331021421123040} is an apocalyptic number.

331021421123040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331021421123040 is an abundant number, since it is smaller than the sum of its proper divisors (798589178464248).

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

331021421123040 is a wasteful number, since it uses less digits than its factorization.

331021421123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229875986912 (or 229875986901 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331021421123040 its reverse (40321124120133), we get a palindrome (371342545243173).

The spelling of 331021421123040 in words is "three hundred thirty-one trillion, twenty-one billion, four hundred twenty-one million, one hundred twenty-three thousand, forty".