1020714972480 has 896 divisors, whose sum is σ = 4217768755200. Its totient is φ = 227531538432.

The previous prime is 1020714972479. The next prime is 1020714972581. The reversal of 1020714972480 is 842794170201.

1020714972480 is a `hidden beast` number, since 1 + 0 + 20 + 7 + 149 + 7 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1191032212 + ... + 1191033068.

It is an arithmetic number, because the mean of its divisors is an integer number (4707331200).

Almost surely, 2^{1020714972480} is an apocalyptic number.

1020714972480 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 1020714972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108884377600).

1020714972480 is an abundant number, since it is smaller than the sum of its proper divisors (3197053782720).

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

1020714972480 is a wasteful number, since it uses less digits than its factorization.

1020714972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1020714972480 in words is "one trillion, twenty billion, seven hundred fourteen million, nine hundred seventy-two thousand, four hundred eighty".