10240149798450 has 2304 divisors, whose sum is σ = 38031925800960. Its totient is φ = 2006581248000.

The previous prime is 10240149798427. The next prime is 10240149798451. The reversal of 10240149798450 is 5489794104201.

10240149798450 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 14 + 97 + 98 + 450 = 666.

10240149798450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10240149798451) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 39844940722 + ... + 39844940978.

It is an arithmetic number, because the mean of its divisors is an integer number (16506912240).

Almost surely, 2^{10240149798450} is an apocalyptic number.

10240149798450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240149798450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19015962900480).

10240149798450 is an abundant number, since it is smaller than the sum of its proper divisors (27791776002510).

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

10240149798450 is a wasteful number, since it uses less digits than its factorization.

10240149798450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10240149798450 in words is "ten trillion, two hundred forty billion, one hundred forty-nine million, seven hundred ninety-eight thousand, four hundred fifty".