240250041151000 has 256 divisors, whose sum is σ = 566035004620800. Its totient is φ = 95445016128000.

The previous prime is 240250041150953. The next prime is 240250041151037. The reversal of 240250041151000 is 151140052042.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113808639945 + ... + 113808642055.

It is an arithmetic number, because the mean of its divisors is an integer number (2211074236800).

Almost surely, 2^{240250041151000} is an apocalyptic number.

240250041151000 is a gapful number since it is divisible by the number (20) 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 240250041151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283017502310400).

240250041151000 is an abundant number, since it is smaller than the sum of its proper divisors (325784963469800).

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

240250041151000 is a wasteful number, since it uses less digits than its factorization.

240250041151000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 240250041151000 in words is "two hundred forty trillion, two hundred fifty billion, forty-one million, one hundred fifty-one thousand".