1442750400 has 672 divisors, whose sum is σ = 6490695680. Its totient is φ = 303575040.

The previous prime is 1442750359. The next prime is 1442750429. The reversal of 1442750400 is 40572441.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931017 + ... + 3931383.

Almost surely, 2^1442750400 is an apocalyptic number.

1442750400 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 1442750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245347840).

1442750400 is an abundant number, since it is smaller than the sum of its proper divisors (5047945280).

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

1442750400 is a wasteful number, since it uses less digits than its factorization.

1442750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1442750400 is about 37983.5543360544. The cubic root of 1442750400 is about 1129.9617289359.

The spelling of 1442750400 in words is "one billion, four hundred forty-two million, seven hundred fifty thousand, four hundred".