1375527040 has 256 divisors, whose sum is σ = 3701376000. Its totient is φ = 486604800.

The previous prime is 1375527017. The next prime is 1375527047. The reversal of 1375527040 is 407255731.

It is a junction number, because it is equal to n+sod(n) for n = 1375526987 and 1375527005.

It is not an unprimeable number, because it can be changed into a prime (1375527047) 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, 15455316 + ... + 15455404.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 2^1375527040 is an apocalyptic number.

1375527040 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 1375527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

1375527040 is an abundant number, since it is smaller than the sum of its proper divisors (2325848960).

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

1375527040 is a wasteful number, since it uses less digits than its factorization.

1375527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 1375527040 is about 37088.0983605253. The cubic root of 1375527040 is about 1112.1321030713.

The spelling of 1375527040 in words is "one billion, three hundred seventy-five million, five hundred twenty-seven thousand, forty".