338369403240 has 1152 divisors, whose sum is σ = 1360419840000. Its totient is φ = 74826892800.

The previous prime is 338369403191. The next prime is 338369403241. The reversal of 338369403240 is 42304963833.

338369403240 is a `hidden beast` number, since 3 + 3 + 8 + 369 + 40 + 3 + 240 = 666.

It is a super-2 number, since 2×338369403240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (338369403241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1700348661 + ... + 1700348859.

It is an arithmetic number, because the mean of its divisors is an integer number (1180920000).

Almost surely, 2^338369403240 is an apocalyptic number.

338369403240 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 338369403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680209920000).

338369403240 is an abundant number, since it is smaller than the sum of its proper divisors (1022050436760).

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

338369403240 is a wasteful number, since it uses less digits than its factorization.

338369403240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 338369403240 in words is "three hundred thirty-eight billion, three hundred sixty-nine million, four hundred three thousand, two hundred forty".