338215933440 has 960 divisors, whose sum is σ = 1467453791232. Its totient is φ = 69938380800.

The previous prime is 338215933411. The next prime is 338215933441. The reversal of 338215933440 is 44339512833.

338215933440 is a `hidden beast` number, since 3 + 3 + 8 + 21 + 593 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×338215933440² (a number of 24 digits) contains 22 as substring.

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 (338215933441) 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, 551738574 + ... + 551739186.

Almost surely, 2^338215933440 is an apocalyptic number.

338215933440 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 338215933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733726895616).

338215933440 is an abundant number, since it is smaller than the sum of its proper divisors (1129237857792).

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

338215933440 is a wasteful number, since it uses less digits than its factorization.

338215933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 338215933440 in words is "three hundred thirty-eight billion, two hundred fifteen million, nine hundred thirty-three thousand, four hundred forty".