1442604281400 has 480 divisors, whose sum is σ = 5055396746400. Its totient is φ = 381254169600.

The previous prime is 1442604281389. The next prime is 1442604281423. The reversal of 1442604281400 is 41824062441.

1442604281400 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 604 + 2 + 8 + 1 + 40 + 0 = 666.

It is a super-2 number, since 2×1442604281400² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1093709941 + ... + 1093711259.

It is an arithmetic number, because the mean of its divisors is an integer number (10532076555).

Almost surely, 2^{1442604281400} is an apocalyptic number.

1442604281400 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 1442604281400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527698373200).

1442604281400 is an abundant number, since it is smaller than the sum of its proper divisors (3612792465000).

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

1442604281400 is a wasteful number, since it uses less digits than its factorization.

1442604281400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 1442604281400 in words is "one trillion, four hundred forty-two billion, six hundred four million, two hundred eighty-one thousand, four hundred".