1420795031680 has 256 divisors, whose sum is σ = 3499227993600. Its totient is φ = 551486881792.

The previous prime is 1420795031671. The next prime is 1420795031767. The reversal of 1420795031680 is 861305970241.

It is a self number, because there is not a number n which added to its sum of digits gives 1420795031680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688702329 + ... + 688704391.

It is an arithmetic number, because the mean of its divisors is an integer number (13668859350).

It is a 1-persistent number, because it is pandigital, but 2⋅1420795031680 = 2841590063360 is not.

Almost surely, 2^{1420795031680} is an apocalyptic number.

1420795031680 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 1420795031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749613996800).

1420795031680 is an abundant number, since it is smaller than the sum of its proper divisors (2078432961920).

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

1420795031680 is a wasteful number, since it uses less digits than its factorization.

1420795031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 1420795031680 in words is "one trillion, four hundred twenty billion, seven hundred ninety-five million, thirty-one thousand, six hundred eighty".