1401958144 has 36 divisors (see below), whose sum is σ = 2807597520. Its totient is φ = 698685440.

The previous prime is 1401958139. The next prime is 1401958163. The reversal of 1401958144 is 4418591041.

It is a super-3 number, since 3×1401958144³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 70812 + ... + 88420.

It is an arithmetic number, because the mean of its divisors is an integer number (77988820).

Almost surely, 2^1401958144 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 1401958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403798760).

1401958144 is an abundant number, since it is smaller than the sum of its proper divisors (1405639376).

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

1401958144 is an equidigital number, since it uses as much as digits as its factorization.

1401958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17936 (or 17922 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 1401958144 is about 37442.7315242892. The cubic root of 1401958144 is about 1119.2102595914.

The spelling of 1401958144 in words is "one billion, four hundred one million, nine hundred fifty-eight thousand, one hundred forty-four".