241455023040 has 448 divisors, whose sum is σ = 997348515840. Its totient is φ = 47990722560.

The previous prime is 241455022993. The next prime is 241455023077. The reversal of 241455023040 is 40320554142.

241455023040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241455022989 and 241455023007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1629151 + ... + 1771169.

Almost surely, 2^241455023040 is an apocalyptic number.

241455023040 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 241455023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498674257920).

241455023040 is an abundant number, since it is smaller than the sum of its proper divisors (755893492800).

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

241455023040 is a wasteful number, since it uses less digits than its factorization.

241455023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142080 (or 142070 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 241455023040 its reverse (40320554142), we get a palindrome (281775577182).

The spelling of 241455023040 in words is "two hundred forty-one billion, four hundred fifty-five million, twenty-three thousand, forty".