1012658040 has 192 divisors, whose sum is σ = 3502193760. Its totient is φ = 252887040.

The previous prime is 1012658039. The next prime is 1012658071. The reversal of 1012658040 is 408562101.

1012658040 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 658 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1012657995 and 1012658013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2062195 + ... + 2062685.

Almost surely, 2^1012658040 is an apocalyptic number.

1012658040 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 1012658040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751096880).

1012658040 is an abundant number, since it is smaller than the sum of its proper divisors (2489535720).

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

1012658040 is a wasteful number, since it uses less digits than its factorization.

1012658040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1012658040 is about 31822.2884155115. The cubic root of 1012658040 is about 1004.2016679279.

The spelling of 1012658040 in words is "one billion, twelve million, six hundred fifty-eight thousand, forty".