1416081021696 has 576 divisors, whose sum is σ = 4645328486400. Its totient is φ = 421927833600.

The previous prime is 1416081021671. The next prime is 1416081021697. The reversal of 1416081021696 is 6961201806141.

1416081021696 is a `hidden beast` number, since 1 + 4 + 1 + 608 + 10 + 21 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1416081021697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2588813295 + ... + 2588813841.

It is an arithmetic number, because the mean of its divisors is an integer number (8064806400).

Almost surely, 2^{1416081021696} is an apocalyptic number.

1416081021696 is a gapful number since it is divisible by the number (16) 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 1416081021696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322664243200).

1416081021696 is an abundant number, since it is smaller than the sum of its proper divisors (3229247464704).

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

1416081021696 is a wasteful number, since it uses less digits than its factorization.

1416081021696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1416081021696 in words is "one trillion, four hundred sixteen billion, eighty-one million, twenty-one thousand, six hundred ninety-six".