10003204152240 has 320 divisors, whose sum is σ = 33682264197120. Its totient is φ = 2441205411840.

The previous prime is 10003204152173. The next prime is 10003204152259. The reversal of 10003204152240 is 4225140230001.

It is a super-2 number, since 2×10003204152240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10003204152240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450807066 + ... + 450829254.

It is an arithmetic number, because the mean of its divisors is an integer number (105257075616).

Almost surely, 2^{10003204152240} is an apocalyptic number.

10003204152240 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 10003204152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841132098560).

10003204152240 is an abundant number, since it is smaller than the sum of its proper divisors (23679060044880).

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

10003204152240 is a wasteful number, since it uses less digits than its factorization.

10003204152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23452 (or 23446 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10003204152240 its reverse (4225140230001), we get a palindrome (14228344382241).

The spelling of 10003204152240 in words is "ten trillion, three billion, two hundred four million, one hundred fifty-two thousand, two hundred forty".