1427820414720 has 1152 divisors, whose sum is σ = 5933813760000. Its totient is φ = 284722200576.

The previous prime is 1427820414719. The next prime is 1427820414809. The reversal of 1427820414720 is 274140287241.

It is a super-2 number, since 2×1427820414720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 408063531 + ... + 408067029.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880000).

Almost surely, 2^{1427820414720} is an apocalyptic number.

1427820414720 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 1427820414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966906880000).

1427820414720 is an abundant number, since it is smaller than the sum of its proper divisors (4505993345280).

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

1427820414720 is a wasteful number, since it uses less digits than its factorization.

1427820414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The spelling of 1427820414720 in words is "one trillion, four hundred twenty-seven billion, eight hundred twenty million, four hundred fourteen thousand, seven hundred twenty".