1012492440 has 128 divisors (see below), whose sum is σ = 3417984000. Its totient is φ = 266557824.

The previous prime is 1012492433. The next prime is 1012492441. The reversal of 1012492440 is 442942101.

It is a happy number.

1012492440 is a `hidden beast` number, since 10 + 124 + 92 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012492441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79387 + ... + 91253.

It is an arithmetic number, because the mean of its divisors is an integer number (26703000).

Almost surely, 2^1012492440 is an apocalyptic number.

1012492440 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 1012492440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708992000).

1012492440 is an abundant number, since it is smaller than the sum of its proper divisors (2405491560).

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

1012492440 is a wasteful number, since it uses less digits than its factorization.

1012492440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11966 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1012492440 is about 31819.6863592336. The cubic root of 1012492440 is about 1004.1469259007.

The spelling of 1012492440 in words is "one billion, twelve million, four hundred ninety-two thousand, four hundred forty".