1421971583760 has 1080 divisors, whose sum is σ = 6369603781320. Its totient is φ = 282351992832.

The previous prime is 1421971583731. The next prime is 1421971583789. The reversal of 1421971583760 is 673851791241.

1421971583760 is a `hidden beast` number, since 1 + 4 + 219 + 7 + 1 + 58 + 376 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1421971583731) and next prime (1421971583789).

It can be written as a sum of positive squares in 12 ways, for example, as 1034435453184 + 387536130576 = 1017072^2 + 622524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1421971583697 and 1421971583706.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 101352426 + ... + 101366454.

It is an arithmetic number, because the mean of its divisors is an integer number (5897781279).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1421971583760 = 2843943167520, but 3⋅1421971583760 = 4265914751280 is not.

Almost surely, 2^{1421971583760} is an apocalyptic number.

1421971583760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1192464×1192465.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421971583760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184801890660).

1421971583760 is an abundant number, since it is smaller than the sum of its proper divisors (4947632197560).

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

1421971583760 is a wasteful number, since it uses less digits than its factorization.

1421971583760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105 (or 14076 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1421971583760 in words is "one trillion, four hundred twenty-one billion, nine hundred seventy-one million, five hundred eighty-three thousand, seven hundred sixty".