10241734553400 has 192 divisors, whose sum is σ = 36322385575680. Its totient is φ = 2338556083200.

The previous prime is 10241734553321. The next prime is 10241734553443. The reversal of 10241734553400 is 435543714201.

10241734553400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2822532 + ... + 5333868.

It is an arithmetic number, because the mean of its divisors is an integer number (189179091540).

Almost surely, 2^{10241734553400} is an apocalyptic number.

10241734553400 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 10241734553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161192787840).

10241734553400 is an abundant number, since it is smaller than the sum of its proper divisors (26080651022280).

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

10241734553400 is a wasteful number, since it uses less digits than its factorization.

10241734553400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512334 (or 2512325 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 10241734553400 in words is "ten trillion, two hundred forty-one billion, seven hundred thirty-four million, five hundred fifty-three thousand, four hundred".