1416456263340 has 144 divisors (see below), whose sum is σ = 4440331598976. Its totient is φ = 365247590400.

The previous prime is 1416456263309. The next prime is 1416456263347. The reversal of 1416456263340 is 433626546141.

1416456263340 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 4 + 5 + 6 + 2 + 633 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1416456263347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15316 + ... + 1683195.

It is an arithmetic number, because the mean of its divisors is an integer number (30835636104).

Almost surely, 2^{1416456263340} is an apocalyptic number.

1416456263340 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 1416456263340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220165799488).

1416456263340 is an abundant number, since it is smaller than the sum of its proper divisors (3023875335636).

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

1416456263340 is a wasteful number, since it uses less digits than its factorization.

1416456263340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698680 (or 1698675 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 1416456263340 in words is "one trillion, four hundred sixteen billion, four hundred fifty-six million, two hundred sixty-three thousand, three hundred forty".