332981790654240 has 1536 divisors, whose sum is σ = 1537201762467840. Its totient is φ = 65384605237248.

The previous prime is 332981790654221. The next prime is 332981790654241. The reversal of 332981790654240 is 42456097189233.

332981790654240 is a `hidden beast` number, since 3 + 3 + 2 + 9 + 81 + 7 + 9 + 0 + 6 + 542 + 4 + 0 = 666.

It is a super-2 number, since 2×332981790654240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (332981790654241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 334047457 + ... + 335042783.

It is an arithmetic number, because the mean of its divisors is an integer number (1000782397440).

It is a 1-persistent number, because it is pandigital, but 2⋅332981790654240 = 665963581308480 is not.

Almost surely, 2^{332981790654240} is an apocalyptic number.

332981790654240 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 332981790654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768600881233920).

332981790654240 is an abundant number, since it is smaller than the sum of its proper divisors (1204219971813600).

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

332981790654240 is a wasteful number, since it uses less digits than its factorization.

332981790654240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995431 (or 995417 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 332981790654240 in words is "three hundred thirty-two trillion, nine hundred eighty-one billion, seven hundred ninety million, six hundred fifty-four thousand, two hundred forty".