1219264416 has 72 divisors (see below), whose sum is σ = 3479357700. Its totient is φ = 405006336.

The previous prime is 1219264411. The next prime is 1219264421. The reversal of 1219264416 is 6144629121.

1219264416 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 2 + 644 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1219264411) and next prime (1219264421).

It can be written as a sum of positive squares in 2 ways, for example, as 819104400 + 400160016 = 28620^2 + 20004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1219264416² = 2973211432247642112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1219264411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77160 + ... + 91608.

Almost surely, 2^1219264416 is an apocalyptic number.

1219264416 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 1219264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739678850).

1219264416 is an abundant number, since it is smaller than the sum of its proper divisors (2260093284).

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

1219264416 is a wasteful number, since it uses less digits than its factorization.

1219264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14758 (or 14747 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1219264416 is about 34917.9669511270. The cubic root of 1219264416 is about 1068.3149346860.

The spelling of 1219264416 in words is "one billion, two hundred nineteen million, two hundred sixty-four thousand, four hundred sixteen".