241763060400 has 480 divisors, whose sum is σ = 844592609280. Its totient is φ = 58890240000.

The previous prime is 241763060393. The next prime is 241763060401. The reversal of 241763060400 is 4060367142.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (241763060401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283426374 + ... + 283427226.

It is an arithmetic number, because the mean of its divisors is an integer number (1759567936).

Almost surely, 2^241763060400 is an apocalyptic number.

241763060400 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 241763060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422296304640).

241763060400 is an abundant number, since it is smaller than the sum of its proper divisors (602829548880).

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

241763060400 is a wasteful number, since it uses less digits than its factorization.

241763060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 241763060400 in words is "two hundred forty-one billion, seven hundred sixty-three million, sixty thousand, four hundred".