1420225884000 has 1728 divisors, whose sum is σ = 6472961703936. Its totient is φ = 288541440000.

The previous prime is 1420225883981. The next prime is 1420225884089. The reversal of 1420225884000 is 4885220241.

1420225884000 is a `hidden beast` number, since 1 + 4 + 20 + 225 + 8 + 8 + 400 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1433123505 + ... + 1433124495.

It is an arithmetic number, because the mean of its divisors is an integer number (3745926912).

Almost surely, 2^{1420225884000} is an apocalyptic number.

1420225884000 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 1420225884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236480851968).

1420225884000 is an abundant number, since it is smaller than the sum of its proper divisors (5052735819936).

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

1420225884000 is a wasteful number, since it uses less digits than its factorization.

1420225884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 1420225884000 in words is "one trillion, four hundred twenty billion, two hundred twenty-five million, eight hundred eighty-four thousand".