333940746090 has 256 divisors, whose sum is σ = 959745024000. Its totient is φ = 72776309760.

The previous prime is 333940746071. The next prime is 333940746103. The reversal of 333940746090 is 90647049333.

It is a super-2 number, since 2×333940746090² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95437161 + ... + 95440659.

It is an arithmetic number, because the mean of its divisors is an integer number (3749004000).

Almost surely, 2^333940746090 is an apocalyptic number.

333940746090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 333940746090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479872512000).

333940746090 is an abundant number, since it is smaller than the sum of its proper divisors (625804277910).

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

333940746090 is a wasteful number, since it uses less digits than its factorization.

333940746090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797.

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 333940746090 in words is "three hundred thirty-three billion, nine hundred forty million, seven hundred forty-six thousand, ninety".