1021537120640 has 128 divisors (see below), whose sum is σ = 2449649952000. Its totient is φ = 407355719680.

The previous prime is 1021537120631. The next prime is 1021537120661. The reversal of 1021537120640 is 460217351201.

1021537120640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1021537120597 and 1021537120606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479819096 + ... + 479821224.

It is an arithmetic number, because the mean of its divisors is an integer number (19137890250).

Almost surely, 2^{1021537120640} is an apocalyptic number.

1021537120640 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 1021537120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224824976000).

1021537120640 is an abundant number, since it is smaller than the sum of its proper divisors (1428112831360).

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

1021537120640 is a wasteful number, since it uses less digits than its factorization.

1021537120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 1021537120640 in words is "one trillion, twenty-one billion, five hundred thirty-seven million, one hundred twenty thousand, six hundred forty".