1442376000 has 672 divisors, whose sum is σ = 5884639488. Its totient is φ = 334540800.

The previous prime is 1442375993. The next prime is 1442376007. The reversal of 1442376000 is 6732441.

1442376000 is a `hidden beast` number, since 14 + 42 + 3 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1442375993) and next prime (1442376007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442376007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21527967 + ... + 21528033.

It is an arithmetic number, because the mean of its divisors is an integer number (8756904).

Almost surely, 2^1442376000 is an apocalyptic number.

1442376000 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 1442376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942319744).

1442376000 is an abundant number, since it is smaller than the sum of its proper divisors (4442263488).

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

1442376000 is a wasteful number, since it uses less digits than its factorization.

1442376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1442376000 is about 37978.6255675479. The cubic root of 1442376000 is about 1129.8639771530.

The spelling of 1442376000 in words is "one billion, four hundred forty-two million, three hundred seventy-six thousand".