1385375830272 has 1080 divisors, whose sum is σ = 5008322871552. Its totient is φ = 380936908800.

The previous prime is 1385375830261. The next prime is 1385375830291. The reversal of 1385375830272 is 2720385735831.

1385375830272 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 37 + 583 + 0 + 27 + 2 = 666.

It is a super-2 number, since 2×1385375830272² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7654010022 + ... + 7654010202.

Almost surely, 2^{1385375830272} is an apocalyptic number.

1385375830272 is a gapful number since it is divisible by the number (12) 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 1385375830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504161435776).

1385375830272 is an abundant number, since it is smaller than the sum of its proper divisors (3622947041280).

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

1385375830272 is an frugal number, since it uses more digits than its factorization.

1385375830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 1385375830272 in words is "one trillion, three hundred eighty-five billion, three hundred seventy-five million, eight hundred thirty thousand, two hundred seventy-two".