338340980040 has 384 divisors, whose sum is σ = 1190299536000. Its totient is φ = 76712251392.

The previous prime is 338340980017. The next prime is 338340980083. The reversal of 338340980040 is 40089043833.

It is a super-2 number, since 2×338340980040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 338340979974 and 338340980001.

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, 646923219 + ... + 646923741.

It is an arithmetic number, because the mean of its divisors is an integer number (3099738375).

Almost surely, 2^338340980040 is an apocalyptic number.

338340980040 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 338340980040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595149768000).

338340980040 is an abundant number, since it is smaller than the sum of its proper divisors (851958555960).

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

338340980040 is a wasteful number, since it uses less digits than its factorization.

338340980040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 338340980040 in words is "three hundred thirty-eight billion, three hundred forty million, nine hundred eighty thousand, forty".