1020641431824 has 675 divisors, whose sum is σ = 3643971070311. Its totient is φ = 274954538880.

The previous prime is 1020641431801. The next prime is 1020641431829. The reversal of 1020641431824 is 4281341460201.

The square root of 1020641431824 is 1010268.

It is a perfect power (a square), and thus also a powerful number.

1020641431824 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 641 + 4 + 3 + 1 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1020641431829) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4837163079 + ... + 4837163289.

Almost surely, 2^{1020641431824} is an apocalyptic number.

1020641431824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1020641431824 is the 1010268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020641431824

1020641431824 is an abundant number, since it is smaller than the sum of its proper divisors (2623329638487).

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

1020641431824 is an equidigital number, since it uses as much as digits as its factorization.

1020641431824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 1020641431824 by its sum of digits (36), we get a square (36743091545664 = 6061608²).

1020641431824 divided by its sum of digits (36) gives a square (28351150884 = 168378²).

The spelling of 1020641431824 in words is "one trillion, twenty billion, six hundred forty-one million, four hundred thirty-one thousand, eight hundred twenty-four".