338159404477440 has 1584 divisors, whose sum is σ = 1469913394292928. Its totient is φ = 70369721450496.

The previous prime is 338159404477423. The next prime is 338159404477459. The reversal of 338159404477440 is 44774404951833.

It is a happy number.

338159404477440 is a `hidden beast` number, since 3 + 3 + 8 + 159 + 4 + 0 + 4 + 477 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×338159404477440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3979380232 + ... + 3979465208.

Almost surely, 2^{338159404477440} is an apocalyptic number.

338159404477440 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 338159404477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734956697146464).

338159404477440 is an abundant number, since it is smaller than the sum of its proper divisors (1131753989815488).

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

338159404477440 is a wasteful number, since it uses less digits than its factorization.

338159404477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85114 (or 85080 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 338159404477440 in words is "three hundred thirty-eight trillion, one hundred fifty-nine billion, four hundred four million, four hundred seventy-seven thousand, four hundred forty".