332011304303040 has 336 divisors, whose sum is σ = 1168299561117312. Its totient is φ = 86502397575168.

The previous prime is 332011304302991. The next prime is 332011304303101. The reversal of 332011304303040 is 40303403110233.

332011304303040 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 11 + 304 + 303 + 0 + 40 = 666.

It is a super-2 number, since 2×332011304303040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332011304302995 and 332011304303013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75977242 + ... + 80228198.

Almost surely, 2^{332011304303040} is an apocalyptic number.

332011304303040 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 332011304303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584149780558656).

332011304303040 is an abundant number, since it is smaller than the sum of its proper divisors (836288256814272).

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

332011304303040 is a wasteful number, since it uses less digits than its factorization.

332011304303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251604 (or 4251591 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332011304303040 its reverse (40303403110233), we get a palindrome (372314707413273).

The spelling of 332011304303040 in words is "three hundred thirty-two trillion, eleven billion, three hundred four million, three hundred three thousand, forty".