10202490144 has 576 divisors, whose sum is σ = 38358448128. Its totient is φ = 2493849600.

The previous prime is 10202490139. The next prime is 10202490187. The reversal of 10202490144 is 44109420201.

It is a happy number.

10202490144 is a `hidden beast` number, since 10 + 20 + 2 + 490 + 144 = 666.

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, 42333864 + ... + 42334104.

It is an arithmetic number, because the mean of its divisors is an integer number (66594528).

Almost surely, 2^10202490144 is an apocalyptic number.

10202490144 is a gapful number since it is divisible by the number (14) 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 10202490144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179224064).

10202490144 is an abundant number, since it is smaller than the sum of its proper divisors (28155957984).

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

10202490144 is a wasteful number, since it uses less digits than its factorization.

10202490144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10202490144 in words is "ten billion, two hundred two million, four hundred ninety thousand, one hundred forty-four".