1442771226624 has 416 divisors, whose sum is σ = 4749521862400. Its totient is φ = 379318173696.

The previous prime is 1442771226613. The next prime is 1442771226671. The reversal of 1442771226624 is 4266221772441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390252744 + ... + 390256440.

Almost surely, 2^{1442771226624} is an apocalyptic number.

1442771226624 is a gapful number since it is divisible by the number (14) 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 1442771226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374760931200).

1442771226624 is an abundant number, since it is smaller than the sum of its proper divisors (3306750635776).

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

1442771226624 is a wasteful number, since it uses less digits than its factorization.

1442771226624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4071 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The spelling of 1442771226624 in words is "one trillion, four hundred forty-two billion, seven hundred seventy-one million, two hundred twenty-six thousand, six hundred twenty-four".