1036415140 has 36 divisors (see below), whose sum is σ = 2236944276. Its totient is φ = 403350912.

The previous prime is 1036415119. The next prime is 1036415143. The reversal of 1036415140 is 415146301.

1036415140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 605284 + 1035809856 = 778^2 + 32184^2 .

It is a super-3 number, since 3×1036415140³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1036415143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8454 + ... + 46306.

It is an arithmetic number, because the mean of its divisors is an integer number (62137341).

Almost surely, 2^1036415140 is an apocalyptic number.

1036415140 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 1036415140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118472138).

1036415140 is an abundant number, since it is smaller than the sum of its proper divisors (1200529136).

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

1036415140 is a wasteful number, since it uses less digits than its factorization.

1036415140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37936 (or 37897 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1036415140 is about 32193.4021190678. The cubic root of 1036415140 is about 1011.9939500334.

The spelling of 1036415140 in words is "one billion, thirty-six million, four hundred fifteen thousand, one hundred forty".