1012015400 has 96 divisors (see below), whose sum is σ = 2582647200. Its totient is φ = 365740800.

The previous prime is 1012015399. The next prime is 1012015409. The reversal of 1012015400 is 45102101.

It is not an unprimeable number, because it can be changed into a prime (1012015409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379271 + ... + 381929.

It is an arithmetic number, because the mean of its divisors is an integer number (26902575).

Almost surely, 2^1012015400 is an apocalyptic number.

1012015400 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 1012015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291323600).

1012015400 is an abundant number, since it is smaller than the sum of its proper divisors (1570631800).

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

1012015400 is a wasteful number, since it uses less digits than its factorization.

1012015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1012015400 is about 31812.1894876791. The cubic root of 1012015400 is about 1003.9891984679.

Adding to 1012015400 its reverse (45102101), we get a palindrome (1057117501).

It can be divided in two parts, 101201 and 5400, that added together give a palindrome (106601).

The spelling of 1012015400 in words is "one billion, twelve million, fifteen thousand, four hundred".