1416010640 has 160 divisors (see below), whose sum is σ = 3837182976. Its totient is φ = 480775680.

The previous prime is 1416010601. The next prime is 1416010649. The reversal of 1416010640 is 460106141.

It is a super-2 number, since 2×1416010640² = 4010172265186419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1416010649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869507 + ... + 871133.

Almost surely, 2^1416010640 is an apocalyptic number.

1416010640 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 1416010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918591488).

1416010640 is an abundant number, since it is smaller than the sum of its proper divisors (2421172336).

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

1416010640 is a wasteful number, since it uses less digits than its factorization.

1416010640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1416010640 is about 37629.9168215929. The cubic root of 1416010640 is about 1122.9372942163.

Adding to 1416010640 its reverse (460106141), we get a palindrome (1876116781).

The spelling of 1416010640 in words is "one billion, four hundred sixteen million, ten thousand, six hundred forty".