241501478400 has 1440 divisors, whose sum is σ = 1111482298080. Its totient is φ = 50907709440.

The previous prime is 241501478399. The next prime is 241501478437. The reversal of 241501478400 is 4874105142.

It is a happy number.

241501478400 is a `hidden beast` number, since 2 + 41 + 501 + 4 + 78 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220146652 + ... + 220147748.

It is an arithmetic number, because the mean of its divisors is an integer number (771862707).

Almost surely, 2^241501478400 is an apocalyptic number.

241501478400 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 241501478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555741149040).

241501478400 is an abundant number, since it is smaller than the sum of its proper divisors (869980819680).

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

241501478400 is a wasteful number, since it uses less digits than its factorization.

241501478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 241501478400 in words is "two hundred forty-one billion, five hundred one million, four hundred seventy-eight thousand, four hundred".