240166257457152 has 192 divisors, whose sum is σ = 693112630523040. Its totient is φ = 73514417651712.

The previous prime is 240166257457103. The next prime is 240166257457153. The reversal of 240166257457152 is 251754752661042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×240166257457152² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240166257457092 and 240166257457101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240166257457153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7625428 + ... + 23205164.

Almost surely, 2^{240166257457152} 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 240166257457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346556315261520).

240166257457152 is an abundant number, since it is smaller than the sum of its proper divisors (452946373065888).

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

240166257457152 is a wasteful number, since it uses less digits than its factorization.

240166257457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15579968 (or 15579948 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 57.

The spelling of 240166257457152 in words is "two hundred forty trillion, one hundred sixty-six billion, two hundred fifty-seven million, four hundred fifty-seven thousand, one hundred fifty-two".