1420279660800 has 6480 divisors, whose sum is σ = 7929318241152. Its totient is φ = 245248819200.

The previous prime is 1420279660741. The next prime is 1420279660867. The reversal of 1420279660800 is 80669720241.

It is a happy number.

1420279660800 is a `hidden beast` number, since 1 + 420 + 2 + 7 + 96 + 60 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 61751289589 + ... + 61751289611.

Almost surely, 2^{1420279660800} is an apocalyptic number.

1420279660800 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 1420279660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964659120576).

1420279660800 is an abundant number, since it is smaller than the sum of its proper divisors (6509038580352).

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

1420279660800 is a wasteful number, since it uses less digits than its factorization.

1420279660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1420279660800 in words is "one trillion, four hundred twenty billion, two hundred seventy-nine million, six hundred sixty thousand, eight hundred".