1240396416 has 288 divisors, whose sum is σ = 4256035680. Its totient is φ = 352719360.

The previous prime is 1240396379. The next prime is 1240396429. The reversal of 1240396416 is 6146930421.

1240396416 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 3 + 9 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5878551 + ... + 5878761.

Almost surely, 2^1240396416 is an apocalyptic number.

1240396416 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 1240396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128017840).

1240396416 is an abundant number, since it is smaller than the sum of its proper divisors (3015639264).

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

1240396416 is an frugal number, since it uses more digits than its factorization.

1240396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1240396416 is about 35219.2620024895. The cubic root of 1240396416 is about 1074.4515438461.

The spelling of 1240396416 in words is "one billion, two hundred forty million, three hundred ninety-six thousand, four hundred sixteen".