330401949696 has 960 divisors, whose sum is σ = 1245317673600. Its totient is φ = 84945272832.

The previous prime is 330401949671. The next prime is 330401949697. The reversal of 330401949696 is 696949104033.

It is a super-2 number, since 2×330401949696² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (330401949697) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 649119490 + ... + 649119998.

It is an arithmetic number, because the mean of its divisors is an integer number (1297205910).

Almost surely, 2^330401949696 is an apocalyptic number.

330401949696 is a gapful number since it is divisible by the number (36) 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 330401949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622658836800).

330401949696 is an abundant number, since it is smaller than the sum of its proper divisors (914915723904).

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

330401949696 is a wasteful number, since it uses less digits than its factorization.

330401949696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 330401949696 in words is "three hundred thirty billion, four hundred one million, nine hundred forty-nine thousand, six hundred ninety-six".