1012919040 has 576 divisors, whose sum is σ = 4238438400. Its totient is φ = 224280576.

The previous prime is 1012919009. The next prime is 1012919053. The reversal of 1012919040 is 409192101.

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 junction number, because it is equal to n+sod(n) for n = 1012918995 and 1012919013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12821721 + ... + 12821799.

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

Almost surely, 2^1012919040 is an apocalyptic number.

1012919040 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 1012919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119219200).

1012919040 is an abundant number, since it is smaller than the sum of its proper divisors (3225519360).

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

1012919040 is an equidigital number, since it uses as much as digits as its factorization.

1012919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1012919040 is about 31826.3890505976. The cubic root of 1012919040 is about 1004.2879340087.

The spelling of 1012919040 in words is "one billion, twelve million, nine hundred nineteen thousand, forty".