1408145088 has 112 divisors (see below), whose sum is σ = 4508504064. Its totient is φ = 378654720.

The previous prime is 1408145029. The next prime is 1408145099. The reversal of 1408145088 is 8805418041.

1408145088 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7968 + ... + 53663.

Almost surely, 2^1408145088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254252032).

1408145088 is an abundant number, since it is smaller than the sum of its proper divisors (3100358976).

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

1408145088 is a wasteful number, since it uses less digits than its factorization.

1408145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61670 (or 61660 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 1408145088 is about 37525.2593328814. The cubic root of 1408145088 is about 1120.8542292621.

The spelling of 1408145088 in words is "one billion, four hundred eight million, one hundred forty-five thousand, eighty-eight".