1401263160 has 128 divisors (see below), whose sum is σ = 4600281600. Its totient is φ = 338639360.

The previous prime is 1401263159. The next prime is 1401263177. The reversal of 1401263160 is 613621041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1401263160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472402 + ... + 475358.

It is an arithmetic number, because the mean of its divisors is an integer number (35939700).

Almost surely, 2^1401263160 is an apocalyptic number.

1401263160 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 1401263160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300140800).

1401263160 is an abundant number, since it is smaller than the sum of its proper divisors (3199018440).

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

1401263160 is a wasteful number, since it uses less digits than its factorization.

1401263160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1401263160 is about 37433.4497475186. The cubic root of 1401263160 is about 1119.0252893073.

The spelling of 1401263160 in words is "one billion, four hundred one million, two hundred sixty-three thousand, one hundred sixty".