1410993144 has 192 divisors, whose sum is σ = 4501785600. Its totient is φ = 394732800.

The previous prime is 1410993109. The next prime is 1410993151. The reversal of 1410993144 is 4413990141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1410993099 and 1410993108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526929 + ... + 529599.

It is an arithmetic number, because the mean of its divisors is an integer number (23446800).

Almost surely, 2^1410993144 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 1410993144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250892800).

1410993144 is an abundant number, since it is smaller than the sum of its proper divisors (3090792456).

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

1410993144 is a wasteful number, since it uses less digits than its factorization.

1410993144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1410993144 is about 37563.1886825387. The cubic root of 1410993144 is about 1121.6093848400.

The spelling of 1410993144 in words is "one billion, four hundred ten million, nine hundred ninety-three thousand, one hundred forty-four".