331553885040 has 480 divisors, whose sum is σ = 1344594940416. Its totient is φ = 74352245760.

The previous prime is 331553885009. The next prime is 331553885041. The reversal of 331553885040 is 40588355133.

331553885040 is a `hidden beast` number, since 3 + 3 + 1 + 553 + 8 + 8 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331553885041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7189255 + ... + 7235225.

Almost surely, 2^331553885040 is an apocalyptic number.

331553885040 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 331553885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672297470208).

331553885040 is an abundant number, since it is smaller than the sum of its proper divisors (1013041055376).

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

331553885040 is a wasteful number, since it uses less digits than its factorization.

331553885040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46059 (or 46041 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 331553885040 in words is "three hundred thirty-one billion, five hundred fifty-three million, eight hundred eighty-five thousand, forty".