1420227859680 has 960 divisors, whose sum is σ = 6112880040960. Its totient is φ = 303298338816.

The previous prime is 1420227859679. The next prime is 1420227859723. The reversal of 1420227859680 is 869587220241.

1420227859680 is a `hidden beast` number, since 1 + 4 + 20 + 2 + 27 + 8 + 596 + 8 + 0 = 666.

It is a super-2 number, since 2×1420227859680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125822997 + ... + 125834283.

It is an arithmetic number, because the mean of its divisors is an integer number (6367583376).

Almost surely, 2^{1420227859680} is an apocalyptic number.

1420227859680 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 1420227859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056440020480).

1420227859680 is an abundant number, since it is smaller than the sum of its proper divisors (4692652181280).

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

1420227859680 is a wasteful number, since it uses less digits than its factorization.

1420227859680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11413 (or 11396 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1420227859680 in words is "one trillion, four hundred twenty billion, two hundred twenty-seven million, eight hundred fifty-nine thousand, six hundred eighty".