1338772218000 has 640 divisors, whose sum is σ = 5046555571200. Its totient is φ = 305210572800.

The previous prime is 1338772217987. The next prime is 1338772218023. The reversal of 1338772218000 is 8122778331.

It is a super-2 number, since 2×1338772218000² (a number of 25 digits) contains 22 as substring.

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

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, 1220393452 + ... + 1220394548.

It is an arithmetic number, because the mean of its divisors is an integer number (7885243080).

Almost surely, 2^{1338772218000} is an apocalyptic number.

1338772218000 is a gapful number since it is divisible by the number (10) 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 1338772218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523277785600).

1338772218000 is an abundant number, since it is smaller than the sum of its proper divisors (3707783353200).

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

1338772218000 is a wasteful number, since it uses less digits than its factorization.

1338772218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 1338772218000 in words is "one trillion, three hundred thirty-eight billion, seven hundred seventy-two million, two hundred eighteen thousand".