1013402880 has 576 divisors, whose sum is σ = 4238438400. Its totient is φ = 224501760.

The previous prime is 1013402851. The next prime is 1013402903. The reversal of 1013402880 is 882043101.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14273245 + ... + 14273315.

It is an arithmetic number, because the mean of its divisors is an integer number (7358400).

Almost surely, 2^1013402880 is an apocalyptic number.

1013402880 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 1013402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119219200).

1013402880 is an abundant number, since it is smaller than the sum of its proper divisors (3225035520).

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

1013402880 is an equidigital number, since it uses as much as digits as its factorization.

1013402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1013402880 is about 31833.9893824195. The cubic root of 1013402880 is about 1004.4478142843.

Adding to 1013402880 its reverse (882043101), we get a palindrome (1895445981).

The spelling of 1013402880 in words is "one billion, thirteen million, four hundred two thousand, eight hundred eighty".