1034031440 has 80 divisors (see below), whose sum is σ = 2594365200. Its totient is φ = 381014016.

The previous prime is 1034031437. The next prime is 1034031451. The reversal of 1034031440 is 441304301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 81938704 + 952092736 = 9052^2 + 30856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840746 + ... + 841974.

It is an arithmetic number, because the mean of its divisors is an integer number (32429565).

Almost surely, 2^1034031440 is an apocalyptic number.

1034031440 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 1034031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297182600).

1034031440 is an abundant number, since it is smaller than the sum of its proper divisors (1560333760).

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

1034031440 is a wasteful number, since it uses less digits than its factorization.

1034031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1034031440 is about 32156.3592466560. The cubic root of 1034031440 is about 1011.2175102870.

Adding to 1034031440 its reverse (441304301), we get a palindrome (1475335741).

The spelling of 1034031440 in words is "one billion, thirty-four million, thirty-one thousand, four hundred forty".