1010455440 has 80 divisors (see below), whose sum is σ = 3141548928. Its totient is φ = 268668928.

The previous prime is 1010455429. The next prime is 1010455451. The reversal of 1010455440 is 445540101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010455429) and next prime (1010455451).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1010455440.

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, 78757 + ... + 90683.

Almost surely, 2^1010455440 is an apocalyptic number.

1010455440 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 1010455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570774464).

1010455440 is an abundant number, since it is smaller than the sum of its proper divisors (2131093488).

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

1010455440 is a wasteful number, since it uses less digits than its factorization.

1010455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12296 (or 12290 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1010455440 is about 31787.6617573548. The cubic root of 1010455440 is about 1003.4730704838.

Adding to 1010455440 its reverse (445540101), we get a palindrome (1455995541).

The spelling of 1010455440 in words is "one billion, ten million, four hundred fifty-five thousand, four hundred forty".