1240414020 has 96 divisors (see below), whose sum is σ = 3913539840. Its totient is φ = 326108160.

The previous prime is 1240414009. The next prime is 1240414037. The reversal of 1240414020 is 204140421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1240413984 and 1240414002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22164 + ... + 54516.

It is an arithmetic number, because the mean of its divisors is an integer number (40766040).

Almost surely, 2^1240414020 is an apocalyptic number.

1240414020 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 1240414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956769920).

1240414020 is an abundant number, since it is smaller than the sum of its proper divisors (2673125820).

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

1240414020 is a wasteful number, since it uses less digits than its factorization.

1240414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32442 (or 32434 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1240414020 is about 35219.5119216607. The cubic root of 1240414020 is about 1074.4566267791.

Adding to 1240414020 its reverse (204140421), we get a palindrome (1444554441).

The spelling of 1240414020 in words is "one billion, two hundred forty million, four hundred fourteen thousand, twenty".