10242016154944 has 560 divisors, whose sum is σ = 24905443305600. Its totient is φ = 4175481139200.

The previous prime is 10242016154939. The next prime is 10242016154977. The reversal of 10242016154944 is 44945161024201.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 10242016154944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68738363382 + ... + 68738363530.

Almost surely, 2^{10242016154944} is an apocalyptic number.

10242016154944 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 10242016154944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452721652800).

10242016154944 is an abundant number, since it is smaller than the sum of its proper divisors (14663427150656).

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

10242016154944 is a wasteful number, since it uses less digits than its factorization.

10242016154944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 10242016154944 in words is "ten trillion, two hundred forty-two billion, sixteen million, one hundred fifty-four thousand, nine hundred forty-four".