1410641120 has 96 divisors (see below), whose sum is σ = 3832593408. Its totient is φ = 480619008.

The previous prime is 1410641107. The next prime is 1410641131. The reversal of 1410641120 is 211460141.

It is a super-3 number, since 3×1410641120³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1410641092 and 1410641101.

It is a congruent number.

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, 178697 + ... + 186423.

It is an arithmetic number, because the mean of its divisors is an integer number (39922848).

Almost surely, 2^1410641120 is an apocalyptic number.

1410641120 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 1410641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916296704).

1410641120 is an abundant number, since it is smaller than the sum of its proper divisors (2421952288).

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

1410641120 is a wasteful number, since it uses less digits than its factorization.

1410641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1410641120 is about 37558.5026325598. The cubic root of 1410641120 is about 1121.5161015467.

The spelling of 1410641120 in words is "one billion, four hundred ten million, six hundred forty-one thousand, one hundred twenty".