1410458480640 has 1248 divisors, whose sum is σ = 5705553364992. Its totient is φ = 318504960000.

The previous prime is 1410458480603. The next prime is 1410458480647. The reversal of 1410458480640 is 460848540141.

1410458480640 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 4 + 584 + 8 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410458480647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5204643705 + ... + 5204643975.

It is an arithmetic number, because the mean of its divisors is an integer number (4571757504).

Almost surely, 2^{1410458480640} is an apocalyptic number.

1410458480640 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 1410458480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852776682496).

1410458480640 is an abundant number, since it is smaller than the sum of its proper divisors (4295094884352).

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

1410458480640 is a wasteful number, since it uses less digits than its factorization.

1410458480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1410458480640 in words is "one trillion, four hundred ten billion, four hundred fifty-eight million, four hundred eighty thousand, six hundred forty".