1385137040 has 160 divisors (see below), whose sum is σ = 3854800896. Its totient is φ = 452874240.

The previous prime is 1385137021. The next prime is 1385137049. The reversal of 1385137040 is 407315831.

It is a junction number, because it is equal to n+sod(n) for n = 1385136988 and 1385137006.

It is not an unprimeable number, because it can be changed into a prime (1385137049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266734 + ... + 1267826.

Almost surely, 2^1385137040 is an apocalyptic number.

1385137040 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 1385137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927400448).

1385137040 is an abundant number, since it is smaller than the sum of its proper divisors (2469663856).

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

1385137040 is a wasteful number, since it uses less digits than its factorization.

1385137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1385137040 is about 37217.4292502854. The cubic root of 1385137040 is about 1114.7160329764.

The spelling of 1385137040 in words is "one billion, three hundred eighty-five million, one hundred thirty-seven thousand, forty".