1412255564160 has 256 divisors, whose sum is σ = 5228986752000. Its totient is φ = 317509263360.

The previous prime is 1412255564143. The next prime is 1412255564227. The reversal of 1412255564160 is 614655522141.

It is a happy number.

It is a super-4 number, since 4×1412255564160⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41460 + ... + 1681139.

It is an arithmetic number, because the mean of its divisors is an integer number (20425729500).

Almost surely, 2^{1412255564160} is an apocalyptic number.

1412255564160 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 1412255564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614493376000).

1412255564160 is an abundant number, since it is smaller than the sum of its proper divisors (3816731187840).

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

1412255564160 is a wasteful number, since it uses less digits than its factorization.

1412255564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722689 (or 1722677 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 1412255564160 in words is "one trillion, four hundred twelve billion, two hundred fifty-five million, five hundred sixty-four thousand, one hundred sixty".