1002261267840 has 1024 divisors, whose sum is σ = 3857891328000. Its totient is φ = 216539136000.

The previous prime is 1002261267797. The next prime is 1002261267883. The reversal of 1002261267840 is 487621622001.

It is an interprime number because it is at equal distance from previous prime (1002261267797) and next prime (1002261267883).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5599224871 + ... + 5599225049.

It is an arithmetic number, because the mean of its divisors is an integer number (3767472000).

Almost surely, 2^{1002261267840} is an apocalyptic number.

1002261267840 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 1002261267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928945664000).

1002261267840 is an abundant number, since it is smaller than the sum of its proper divisors (2855630060160).

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

1002261267840 is a wasteful number, since it uses less digits than its factorization.

1002261267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

Adding to 1002261267840 its reverse (487621622001), we get a palindrome (1489882889841).

The spelling of 1002261267840 in words is "one trillion, two billion, two hundred sixty-one million, two hundred sixty-seven thousand, eight hundred forty".