241402009365888 has 1536 divisors, whose sum is σ = 803646987264000. Its totient is φ = 63909612748800.

The previous prime is 241402009365863. The next prime is 241402009365899. The reversal of 241402009365888 is 888563900204142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239248769928 + ... + 239248770936.

It is an arithmetic number, because the mean of its divisors is an integer number (523207674000).

Almost surely, 2^{241402009365888} is an apocalyptic number.

241402009365888 is a gapful number since it is divisible by the number (28) 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 241402009365888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401823493632000).

241402009365888 is an abundant number, since it is smaller than the sum of its proper divisors (562244977898112).

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

241402009365888 is a wasteful number, since it uses less digits than its factorization.

241402009365888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 241402009365888 in words is "two hundred forty-one trillion, four hundred two billion, nine million, three hundred sixty-five thousand, eight hundred eighty-eight".