1040140416 has 128 divisors (see below), whose sum is σ = 3231360000. Its totient is φ = 290239488.

The previous prime is 1040140399. The next prime is 1040140429. The reversal of 1040140416 is 6140410401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1040140392 and 1040140401.

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, 111085 + ... + 120083.

It is an arithmetic number, because the mean of its divisors is an integer number (25245000).

Almost surely, 2^1040140416 is an apocalyptic number.

1040140416 is a gapful number since it is divisible by the number (16) 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 1040140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615680000).

1040140416 is an abundant number, since it is smaller than the sum of its proper divisors (2191219584).

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

1040140416 is an equidigital number, since it uses as much as digits as its factorization.

1040140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9066 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1040140416 is about 32251.2079773766. The cubic root of 1040140416 is about 1013.2049991371.

Adding to 1040140416 its reverse (6140410401), we get a palindrome (7180550817).

The spelling of 1040140416 in words is "one billion, forty million, one hundred forty thousand, four hundred sixteen".