1021416769680 has 480 divisors, whose sum is σ = 3388190891904. Its totient is φ = 254345527296.

The previous prime is 1021416769603. The next prime is 1021416769691. The reversal of 1021416769680 is 869676141201.

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, 1740062347 + ... + 1740062933.

Almost surely, 2^{1021416769680} is an apocalyptic number.

1021416769680 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 1021416769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694095445952).

1021416769680 is an abundant number, since it is smaller than the sum of its proper divisors (2366774122224).

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

1021416769680 is a wasteful number, since it uses less digits than its factorization.

1021416769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 1021416769680 in words is "one trillion, twenty-one billion, four hundred sixteen million, seven hundred sixty-nine thousand, six hundred eighty".