1400016360 has 128 divisors (see below), whose sum is σ = 4414481280. Its totient is φ = 354751488.

The previous prime is 1400016347. The next prime is 1400016379. The reversal of 1400016360 is 636100041.

1400016360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 187254 + ... + 194586.

It is an arithmetic number, because the mean of its divisors is an integer number (34488135).

Almost surely, 2^1400016360 is an apocalyptic number.

1400016360 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 1400016360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207240640).

1400016360 is an abundant number, since it is smaller than the sum of its proper divisors (3014464920).

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

1400016360 is a wasteful number, since it uses less digits than its factorization.

1400016360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1400016360 is about 37416.7924867966. The cubic root of 1400016360 is about 1118.6932996242.

The spelling of 1400016360 in words is "one billion, four hundred million, sixteen thousand, three hundred sixty".