1416820014720 has 672 divisors, whose sum is σ = 5582160877860. Its totient is φ = 343457832960.

The previous prime is 1416820014703. The next prime is 1416820014737. The reversal of 1416820014720 is 274100286141.

It is a happy number.

1416820014720 is a `hidden beast` number, since 1 + 4 + 168 + 20 + 0 + 1 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1416820014703) and next prime (1416820014737).

It can be written as a sum of positive squares in 2 ways, for example, as 1372102991424 + 44717023296 = 1171368^2 + 211464^2 .

It is a super-2 number, since 2×1416820014720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 56441212 + ... + 56466308.

Almost surely, 2^{1416820014720} is an apocalyptic number.

1416820014720 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 1416820014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791080438930).

1416820014720 is an abundant number, since it is smaller than the sum of its proper divisors (4165340863140).

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

1416820014720 is an equidigital number, since it uses as much as digits as its factorization.

1416820014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25156 (or 25118 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1416820014720 in words is "one trillion, four hundred sixteen billion, eight hundred twenty million, fourteen thousand, seven hundred twenty".