1420080076800 has 1440 divisors, whose sum is σ = 6558990197760. Its totient is φ = 295015219200.

The previous prime is 1420080076777. The next prime is 1420080076817. The reversal of 1420080076800 is 86700800241.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319332177 + ... + 319336623.

It is an arithmetic number, because the mean of its divisors is an integer number (4554854304).

Almost surely, 2^{1420080076800} is an apocalyptic number.

1420080076800 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 1420080076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279495098880).

1420080076800 is an abundant number, since it is smaller than the sum of its proper divisors (5138910120960).

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

1420080076800 is a wasteful number, since it uses less digits than its factorization.

1420080076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1420080076800 in words is "one trillion, four hundred twenty billion, eighty million, seventy-six thousand, eight hundred".