241419628926240 has 384 divisors, whose sum is σ = 833915238024960. Its totient is φ = 58435923345408.

The previous prime is 241419628926239. The next prime is 241419628926283. The reversal of 241419628926240 is 42629826914142.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208375432 + ... + 209530808.

It is an arithmetic number, because the mean of its divisors is an integer number (2171654265690).

Almost surely, 2^{241419628926240} is an apocalyptic number.

241419628926240 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 241419628926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416957619012480).

241419628926240 is an abundant number, since it is smaller than the sum of its proper divisors (592495609098720).

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

241419628926240 is a wasteful number, since it uses less digits than its factorization.

241419628926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156324 (or 1156316 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 241419628926240 in words is "two hundred forty-one trillion, four hundred nineteen billion, six hundred twenty-eight million, nine hundred twenty-six thousand, two hundred forty".