1385211520 has 128 divisors (see below), whose sum is σ = 4128796800. Its totient is φ = 431738880.

The previous prime is 1385211497. The next prime is 1385211539. The reversal of 1385211520 is 251125831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35226 + ... + 63334.

It is an arithmetic number, because the mean of its divisors is an integer number (32256225).

Almost surely, 2^1385211520 is an apocalyptic number.

1385211520 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 1385211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064398400).

1385211520 is an abundant number, since it is smaller than the sum of its proper divisors (2743585280).

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

1385211520 is a wasteful number, since it uses less digits than its factorization.

1385211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28146 (or 28134 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 1385211520 is about 37218.4298432913. The cubic root of 1385211520 is about 1114.7360123622.

It can be divided in two parts, 138521 and 1520, that added together give a palindrome (140041).

The spelling of 1385211520 in words is "one billion, three hundred eighty-five million, two hundred eleven thousand, five hundred twenty".