240012114133040 has 80 divisors (see below), whose sum is σ = 558741056810400. Its totient is φ = 95882207533056.

The previous prime is 240012114133003. The next prime is 240012114133087. The reversal of 240012114133040 is 40331411210042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×240012114133040² (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 15 ways as a sum of consecutive naturals, for example, 1945356794 + ... + 1945480166.

It is an arithmetic number, because the mean of its divisors is an integer number (6984263210130).

Almost surely, 2^{240012114133040} is an apocalyptic number.

240012114133040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240012114133040 is an abundant number, since it is smaller than the sum of its proper divisors (318728942677360).

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

240012114133040 is a wasteful number, since it uses less digits than its factorization.

240012114133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154254 (or 154248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 240012114133040 its reverse (40331411210042), we get a palindrome (280343525343082).

The spelling of 240012114133040 in words is "two hundred forty trillion, twelve billion, one hundred fourteen million, one hundred thirty-three thousand, forty".