1034400440 has 32 divisors (see below), whose sum is σ = 2376924480. Its totient is φ = 404956032.

The previous prime is 1034400373. The next prime is 1034400443. The reversal of 1034400440 is 440044301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034400443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273227 + ... + 276986.

It is an arithmetic number, because the mean of its divisors is an integer number (74278890).

Almost surely, 2^1034400440 is an apocalyptic number.

1034400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034400440 is an abundant number, since it is smaller than the sum of its proper divisors (1342524040).

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

1034400440 is a wasteful number, since it uses less digits than its factorization.

1034400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550271 (or 550267 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1034400440 is about 32162.0963247112. The cubic root of 1034400440 is about 1011.3377822214.

Adding to 1034400440 its reverse (440044301), we get a palindrome (1474444741).

The spelling of 1034400440 in words is "one billion, thirty-four million, four hundred thousand, four hundred forty".