1416925255680 has 864 divisors, whose sum is σ = 5488953528240. Its totient is φ = 337703731200.

The previous prime is 1416925255661. The next prime is 1416925255687. The reversal of 1416925255680 is 865525296141.

1416925255680 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 9 + 2 + 5 + 2 + 556 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416925255687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 680231919 + ... + 680234001.

Almost surely, 2^{1416925255680} is an apocalyptic number.

1416925255680 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 1416925255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744476764120).

1416925255680 is an abundant number, since it is smaller than the sum of its proper divisors (4072028272560).

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

1416925255680 is a wasteful number, since it uses less digits than its factorization.

1416925255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 1416925255680 in words is "one trillion, four hundred sixteen billion, nine hundred twenty-five million, two hundred fifty-five thousand, six hundred eighty".