1415443680 has 192 divisors, whose sum is σ = 5661895680. Its totient is φ = 323523072.

The previous prime is 1415443669. The next prime is 1415443723. The reversal of 1415443680 is 863445141.

1415443680 is a `hidden beast` number, since 1 + 4 + 1 + 544 + 36 + 80 = 666.

It is a super-2 number, since 2×1415443680² = 4006961622503884800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6837 + ... + 53643.

It is an arithmetic number, because the mean of its divisors is an integer number (29489040).

Almost surely, 2^1415443680 is an apocalyptic number.

1415443680 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 1415443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830947840).

1415443680 is an abundant number, since it is smaller than the sum of its proper divisors (4246452000).

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

1415443680 is a wasteful number, since it uses less digits than its factorization.

1415443680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46838 (or 46824 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1415443680 is about 37622.3826996643. The cubic root of 1415443680 is about 1122.7874023298.

The spelling of 1415443680 in words is "one billion, four hundred fifteen million, four hundred forty-three thousand, six hundred eighty".