240121624666536 has 160 divisors (see below), whose sum is σ = 695850297021000. Its totient is φ = 77269905345024.

The previous prime is 240121624666531. The next prime is 240121624666579. The reversal of 240121624666536 is 635666426121042.

It can be written as a sum of positive squares in 4 ways, for example, as 184965603242436 + 55156021424100 = 13600206^2 + 7426710^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (240121624666531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136476610 + ... + 138224846.

Almost surely, 2^{240121624666536} 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 240121624666536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347925148510500).

240121624666536 is an abundant number, since it is smaller than the sum of its proper divisors (455728672354464).

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

240121624666536 is a wasteful number, since it uses less digits than its factorization.

240121624666536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755593 (or 1755580 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 240121624666536 in words is "two hundred forty trillion, one hundred twenty-one billion, six hundred twenty-four million, six hundred sixty-six thousand, five hundred thirty-six".