10034234244144 has 240 divisors, whose sum is σ = 31470984489984. Its totient is φ = 2957726016000.

The previous prime is 10034234244109. The next prime is 10034234244157. The reversal of 10034234244144 is 44144243243001.

10034234244144 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 234 + 2 + 4 + 414 + 4 = 666.

It is a super-2 number, since 2×10034234244144² (a number of 27 digits) contains 22 as substring.

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 = 10034234244099 and 10034234244108.

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, 248653569 + ... + 248693919.

Almost surely, 2^{10034234244144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034234244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735492244992).

10034234244144 is an abundant number, since it is smaller than the sum of its proper divisors (21436750245840).

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

10034234244144 is a wasteful number, since it uses less digits than its factorization.

10034234244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44656 (or 44647 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10034234244144 its reverse (44144243243001), we get a palindrome (54178477487145).

The spelling of 10034234244144 in words is "ten trillion, thirty-four billion, two hundred thirty-four million, two hundred forty-four thousand, one hundred forty-four".