1420434587376 has 480 divisors, whose sum is σ = 4956492228480. Its totient is φ = 370526846976.

The previous prime is 1420434587333. The next prime is 1420434587389. The reversal of 1420434587376 is 6737854340241.

1420434587376 is a `hidden beast` number, since 1 + 4 + 20 + 4 + 3 + 4 + 587 + 37 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80821726 + ... + 80839298.

It is an arithmetic number, because the mean of its divisors is an integer number (10326025476).

Almost surely, 2^{1420434587376} is an apocalyptic number.

1420434587376 is a gapful number since it is divisible by the number (16) 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 1420434587376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478246114240).

1420434587376 is an abundant number, since it is smaller than the sum of its proper divisors (3536057641104).

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

1420434587376 is a wasteful number, since it uses less digits than its factorization.

1420434587376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17753 (or 17744 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 1420434587376 in words is "one trillion, four hundred twenty billion, four hundred thirty-four million, five hundred eighty-seven thousand, three hundred seventy-six".