240211134261252 has 864 divisors, whose sum is σ = 837635573698560. Its totient is φ = 57176788032000.

The previous prime is 240211134261211. The next prime is 240211134261317. The reversal of 240211134261252 is 252162431112042.

240211134261252 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 1 + 1 + 1 + 34 + 2 + 612 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45955829463 + ... + 45955834689.

Almost surely, 2^{240211134261252} is an apocalyptic number.

240211134261252 is a gapful number since it is divisible by the number (22) 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 240211134261252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418817786849280).

240211134261252 is an abundant number, since it is smaller than the sum of its proper divisors (597424439437308).

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

240211134261252 is a wasteful number, since it uses less digits than its factorization.

240211134261252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9333 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 240211134261252 its reverse (252162431112042), we get a palindrome (492373565373294).

The spelling of 240211134261252 in words is "two hundred forty trillion, two hundred eleven billion, one hundred thirty-four million, two hundred sixty-one thousand, two hundred fifty-two".