10029241560240 has 1600 divisors, whose sum is σ = 43911200931840. Its totient is φ = 2068547880960.

The previous prime is 10029241560223. The next prime is 10029241560253. The reversal of 10029241560240 is 4206514292001.

It is a happy number.

10029241560240 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 9 + 2 + 4 + 1 + 5 + 602 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10029241560195 and 10029241560204.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5371847787 + ... + 5371849653.

Almost surely, 2^{10029241560240} is an apocalyptic number.

10029241560240 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 10029241560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21955600465920).

10029241560240 is an abundant number, since it is smaller than the sum of its proper divisors (33881959371600).

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

10029241560240 is a wasteful number, since it uses less digits than its factorization.

10029241560240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10029241560240 in words is "ten trillion, twenty-nine billion, two hundred forty-one million, five hundred sixty thousand, two hundred forty".