1416897496728 has 192 divisors, whose sum is σ = 4592226562560. Its totient is φ = 400897092096.

The previous prime is 1416897496633. The next prime is 1416897496739. The reversal of 1416897496728 is 8276947986141.

1416897496728 is a `hidden beast` number, since 1 + 4 + 1 + 68 + 9 + 7 + 496 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896176 + ... + 1907072.

It is an arithmetic number, because the mean of its divisors is an integer number (23917846680).

Almost surely, 2^{1416897496728} is an apocalyptic number.

1416897496728 is a gapful number since it is divisible by the number (18) 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 1416897496728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296113281280).

1416897496728 is an abundant number, since it is smaller than the sum of its proper divisors (3175329065832).

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

1416897496728 is a wasteful number, since it uses less digits than its factorization.

1416897496728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011028 (or 1011012 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 1416897496728 in words is "one trillion, four hundred sixteen billion, eight hundred ninety-seven million, four hundred ninety-six thousand, seven hundred twenty-eight".