1418288640 has 160 divisors (see below), whose sum is σ = 4567850496. Its totient is φ = 375398400.

The previous prime is 1418288623. The next prime is 1418288647. The reversal of 1418288640 is 468828141.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1418288592 and 1418288601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418288647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159069 + ... + 1160291.

Almost surely, 2^1418288640 is an apocalyptic number.

1418288640 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 1418288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283925248).

1418288640 is an abundant number, since it is smaller than the sum of its proper divisors (3149561856).

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

1418288640 is a wasteful number, since it uses less digits than its factorization.

1418288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 1418288640 is about 37660.1731275893. The cubic root of 1418288640 is about 1123.5391448329.

The spelling of 1418288640 in words is "one billion, four hundred eighteen million, two hundred eighty-eight thousand, six hundred forty".