1012000440 has 96 divisors (see below), whose sum is σ = 3337140240. Its totient is φ = 245329920.

The previous prime is 1012000427. The next prime is 1012000447. The reversal of 1012000440 is 440002101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012000447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20329 + ... + 49368.

Almost surely, 2^1012000440 is an apocalyptic number.

1012000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012000440 is an abundant number, since it is smaller than the sum of its proper divisors (2325139800).

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

1012000440 is a wasteful number, since it uses less digits than its factorization.

1012000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69733 (or 69718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1012000440 is about 31811.9543568137. The cubic root of 1012000440 is about 1003.9842513257.

Adding to 1012000440 its reverse (440002101), we get a palindrome (1452002541).

The spelling of 1012000440 in words is "one billion, twelve million, four hundred forty", and thus it is an aban number.