240010134123204 has 288 divisors, whose sum is σ = 643800358656000. Its totient is φ = 75238117194240.

The previous prime is 240010134123119. The next prime is 240010134123211. The reversal of 240010134123204 is 402321431010042.

240010134123204 is a `hidden beast` number, since 2 + 40 + 0 + 1 + 0 + 1 + 3 + 412 + 3 + 204 = 666.

240010134123204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240010134123204² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29373406039 + ... + 29373414209.

It is an arithmetic number, because the mean of its divisors is an integer number (2235417912000).

Almost surely, 2^{240010134123204} 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 240010134123204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321900179328000).

240010134123204 is an abundant number, since it is smaller than the sum of its proper divisors (403790224532796).

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

240010134123204 is a wasteful number, since it uses less digits than its factorization.

240010134123204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10495 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 240010134123204 its reverse (402321431010042), we get a palindrome (642331565133246).

The spelling of 240010134123204 in words is "two hundred forty trillion, ten billion, one hundred thirty-four million, one hundred twenty-three thousand, two hundred four".