332913047040 has 960 divisors, whose sum is σ = 1383252609024. Its totient is φ = 72401485824.

The previous prime is 332913047011. The next prime is 332913047057. The reversal of 332913047040 is 40740319233.

332913047040 is a `hidden beast` number, since 3 + 32 + 91 + 30 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×332913047040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 332913046986 and 332913047004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280465327 + ... + 280466513.

Almost surely, 2^332913047040 is an apocalyptic number.

332913047040 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 332913047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691626304512).

332913047040 is an abundant number, since it is smaller than the sum of its proper divisors (1050339561984).

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

332913047040 is a wasteful number, since it uses less digits than its factorization.

332913047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 332913047040 in words is "three hundred thirty-two billion, nine hundred thirteen million, forty-seven thousand, forty".