1420621203456 has 1728 divisors, whose sum is σ = 5586455347200. Its totient is φ = 352155009024.

The previous prime is 1420621203413. The next prime is 1420621203467. The reversal of 1420621203456 is 6543021260241.

1420621203456 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 621 + 20 + 3 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1420621203456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11185993665 + ... + 11185993791.

It is an arithmetic number, because the mean of its divisors is an integer number (3232902400).

Almost surely, 2^{1420621203456} is an apocalyptic number.

1420621203456 is a gapful number since it is divisible by the number (16) 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 1420621203456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793227673600).

1420621203456 is an abundant number, since it is smaller than the sum of its proper divisors (4165834143744).

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

1420621203456 is a wasteful number, since it uses less digits than its factorization.

1420621203456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1420621203456 its reverse (6543021260241), we get a palindrome (7963642463697).

The spelling of 1420621203456 in words is "one trillion, four hundred twenty billion, six hundred twenty-one million, two hundred three thousand, four hundred fifty-six".