1021630890240 has 360 divisors, whose sum is σ = 3870623073240. Its totient is φ = 256408879104.

The previous prime is 1021630890127. The next prime is 1021630890251. The reversal of 1021630890240 is 420980361201.

1021630890240 is a `hidden beast` number, since 1 + 0 + 21 + 6 + 308 + 90 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 457473671424 + 564157218816 = 676368^2 + 751104^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 1021630890195 and 1021630890204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1472746 + ... + 2052374.

It is an arithmetic number, because the mean of its divisors is an integer number (10751730759).

Almost surely, 2^{1021630890240} is an apocalyptic number.

1021630890240 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 1021630890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935311536620).

1021630890240 is an abundant number, since it is smaller than the sum of its proper divisors (2848992183000).

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

1021630890240 is an equidigital number, since it uses as much as digits as its factorization.

1021630890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579679 (or 579656 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1021630890240 in words is "one trillion, twenty-one billion, six hundred thirty million, eight hundred ninety thousand, two hundred forty".