1414361088 has 468 divisors, whose sum is σ = 5098406040. Its totient is φ = 390168576.

The previous prime is 1414361077. The next prime is 1414361093. The reversal of 1414361088 is 8801634141.

It is a happy number.

1414361088 is a `hidden beast` number, since 141 + 436 + 1 + 0 + 88 = 666.

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 35 ways as a sum of consecutive naturals, for example, 48771058 + ... + 48771086.

It is an arithmetic number, because the mean of its divisors is an integer number (10894030).

Almost surely, 2^1414361088 is an apocalyptic number.

1414361088 is a gapful number since it is divisible by the number (18) 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 1414361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549203020).

1414361088 is an abundant number, since it is smaller than the sum of its proper divisors (3684044952).

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

1414361088 is an frugal number, since it uses more digits than its factorization.

1414361088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1414361088 is about 37607.9923420541. The cubic root of 1414361088 is about 1122.5010773415.

The spelling of 1414361088 in words is "one billion, four hundred fourteen million, three hundred sixty-one thousand, eighty-eight".