1442864985408 has 1120 divisors, whose sum is σ = 5523268608000. Its totient is φ = 369136051200.

The previous prime is 1442864985379. The next prime is 1442864985413. The reversal of 1442864985408 is 8045894682441.

1442864985408 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 86 + 4 + 9 + 8 + 540 + 8 = 666.

It is a super-2 number, since 2×1442864985408² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1388704953 + ... + 1388705991.

Almost surely, 2^{1442864985408} is an apocalyptic number.

1442864985408 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 1442864985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761634304000).

1442864985408 is an abundant number, since it is smaller than the sum of its proper divisors (4080403622592).

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

1442864985408 is a wasteful number, since it uses less digits than its factorization.

1442864985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 1442864985408 in words is "one trillion, four hundred forty-two billion, eight hundred sixty-four million, nine hundred eighty-five thousand, four hundred eight".