1412065622016 has 1152 divisors, whose sum is σ = 5367314534400. Its totient is φ = 347807416320.

The previous prime is 1412065621991. The next prime is 1412065622041. The reversal of 1412065622016 is 6102265602141.

1412065622016 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 6 + 5 + 622 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1412065621991) and next prime (1412065622041).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1291916766 + ... + 1291917858.

It is an arithmetic number, because the mean of its divisors is an integer number (4659127200).

Almost surely, 2^{1412065622016} is an apocalyptic number.

1412065622016 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 1412065622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683657267200).

1412065622016 is an abundant number, since it is smaller than the sum of its proper divisors (3955248912384).

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

1412065622016 is a wasteful number, since it uses less digits than its factorization.

1412065622016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1412065622016 in words is "one trillion, four hundred twelve billion, sixty-five million, six hundred twenty-two thousand, sixteen".