1410395040 has 144 divisors (see below), whose sum is σ = 4879267848. Its totient is φ = 370925568.

The previous prime is 1410395017. The next prime is 1410395069. The reversal of 1410395040 is 405930141.

It can be written as a sum of positive squares in 4 ways, for example, as 1094551056 + 315843984 = 33084^2 + 17772^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1410395040³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1410394995 and 1410395013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98412 + ... + 111828.

Almost surely, 2^1410395040 is an apocalyptic number.

1410395040 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 1410395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439633924).

1410395040 is an abundant number, since it is smaller than the sum of its proper divisors (3468872808).

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

1410395040 is a wasteful number, since it uses less digits than its factorization.

1410395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511 (or 13500 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1410395040 is about 37555.2265337330. The cubic root of 1410395040 is about 1121.4508832740.

The spelling of 1410395040 in words is "one billion, four hundred ten million, three hundred ninety-five thousand, forty".