10152421214240 has 48 divisors (see below), whose sum is σ = 23985286059672. Its totient is φ = 4060936157184.

The previous prime is 10152421214237. The next prime is 10152421214267. The reversal of 10152421214240 is 4241212425101.

It can be written as a sum of positive squares in 4 ways, for example, as 4918264256656 + 5234156957584 = 2217716^2 + 2287828^2 .

It is a super-2 number, since 2×10152421214240² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37336052 + ... + 37606988.

Almost surely, 2^{10152421214240} is an apocalyptic number.

10152421214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10152421214240 is an abundant number, since it is smaller than the sum of its proper divisors (13832864845432).

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

10152421214240 is a wasteful number, since it uses less digits than its factorization.

10152421214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505149 (or 505141 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 10152421214240 its reverse (4241212425101), we get a palindrome (14393633639341).

The spelling of 10152421214240 in words is "ten trillion, one hundred fifty-two billion, four hundred twenty-one million, two hundred fourteen thousand, two hundred forty".