1418078720 has 80 divisors (see below), whose sum is σ = 3411745920. Its totient is φ = 565284864.

The previous prime is 1418078719. The next prime is 1418078729. The reversal of 1418078720 is 278708141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1418078720² = 4021894512233676800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418078729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918269 + ... + 919811.

It is an arithmetic number, because the mean of its divisors is an integer number (42646824).

Almost surely, 2^1418078720 is an apocalyptic number.

1418078720 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 1418078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705872960).

1418078720 is an abundant number, since it is smaller than the sum of its proper divisors (1993667200).

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

1418078720 is an equidigital number, since it uses as much as digits as its factorization.

1418078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 38.

The square root of 1418078720 is about 37657.3859953131. The cubic root of 1418078720 is about 1123.4837106597.

The spelling of 1418078720 in words is "one billion, four hundred eighteen million, seventy-eight thousand, seven hundred twenty".