1004021520642 has 128 divisors (see below), whose sum is σ = 2562019891200. Its totient is φ = 285502200768.

The previous prime is 1004021520617. The next prime is 1004021520643. The reversal of 1004021520642 is 2460251204001.

1004021520642 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 2 + 15 + 2 + 0 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004021520643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82270513 + ... + 82282715.

It is an arithmetic number, because the mean of its divisors is an integer number (20015780400).

Almost surely, 2^{1004021520642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004021520642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281009945600).

1004021520642 is an abundant number, since it is smaller than the sum of its proper divisors (1557998370558).

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

1004021520642 is a wasteful number, since it uses less digits than its factorization.

1004021520642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13237 (or 13231 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1004021520642 its reverse (2460251204001), we get a palindrome (3464272724643).

The spelling of 1004021520642 in words is "one trillion, four billion, twenty-one million, five hundred twenty thousand, six hundred forty-two".