10351000254240 has 144 divisors (see below), whose sum is σ = 35326584820800. Its totient is φ = 2759970064896.

The previous prime is 10351000254233. The next prime is 10351000254247. The reversal of 10351000254240 is 4245200015301.

10351000254240 is a `hidden beast` number, since 10 + 3 + 5 + 100 + 0 + 2 + 542 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10351000254233) and next prime (10351000254247).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10351000254247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13181781 + ... + 13944939.

It is an arithmetic number, because the mean of its divisors is an integer number (245323505700).

Almost surely, 2^{10351000254240} is an apocalyptic number.

10351000254240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10351000254240 is an abundant number, since it is smaller than the sum of its proper divisors (24975584566560).

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

10351000254240 is a wasteful number, since it uses less digits than its factorization.

10351000254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772599 (or 772588 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10351000254240 its reverse (4245200015301), we get a palindrome (14596200269541).

The spelling of 10351000254240 in words is "ten trillion, three hundred fifty-one billion, two hundred fifty-four thousand, two hundred forty".