10240221421440 has 768 divisors, whose sum is σ = 37288361560320. Its totient is φ = 2586430144512.

The previous prime is 10240221421433. The next prime is 10240221421457. The reversal of 10240221421440 is 4412412204201.

10240221421440 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 2 + 214 + 2 + 1 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1933208872 + ... + 1933214168.

It is an arithmetic number, because the mean of its divisors is an integer number (48552554115).

Almost surely, 2^{10240221421440} is an apocalyptic number.

10240221421440 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 10240221421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644180780160).

10240221421440 is an abundant number, since it is smaller than the sum of its proper divisors (27048140138880).

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

10240221421440 is a wasteful number, since it uses less digits than its factorization.

10240221421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10240221421440 its reverse (4412412204201), we get a palindrome (14652633625641).

The spelling of 10240221421440 in words is "ten trillion, two hundred forty billion, two hundred twenty-one million, four hundred twenty-one thousand, four hundred forty".