1410441480 has 288 divisors, whose sum is σ = 5478983640. Its totient is φ = 313528320.

The previous prime is 1410441463. The next prime is 1410441481. The reversal of 1410441480 is 841440141.

1410441480 is a `hidden beast` number, since 141 + 0 + 4 + 41 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1369148004 + 41293476 = 37002^2 + 6426^2 .

It is not an unprimeable number, because it can be changed into a prime (1410441481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 651600 + ... + 653760.

Almost surely, 2^1410441480 is an apocalyptic number.

1410441480 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 1410441480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739491820).

1410441480 is an abundant number, since it is smaller than the sum of its proper divisors (4068542160).

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

1410441480 is a wasteful number, since it uses less digits than its factorization.

1410441480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1410441480 is about 37555.8448180839. The cubic root of 1410441480 is about 1121.4631917894.

The spelling of 1410441480 in words is "one billion, four hundred ten million, four hundred forty-one thousand, four hundred eighty".