1020016262472 has 384 divisors, whose sum is σ = 2864935008000. Its totient is φ = 301497548800.

The previous prime is 1020016262471. The next prime is 1020016262477. The reversal of 1020016262472 is 2742626100201.

It is not an unprimeable number, because it can be changed into a prime (1020016262471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3629950972 + ... + 3629951252.

It is an arithmetic number, because the mean of its divisors is an integer number (7460768250).

Almost surely, 2^{1020016262472} is an apocalyptic number.

1020016262472 is a gapful number since it is divisible by the number (12) 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 1020016262472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432467504000).

1020016262472 is an abundant number, since it is smaller than the sum of its proper divisors (1844918745528).

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

1020016262472 is a wasteful number, since it uses less digits than its factorization.

1020016262472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 1020016262472 in words is "one trillion, twenty billion, sixteen million, two hundred sixty-two thousand, four hundred seventy-two".