241425561620040 has 384 divisors, whose sum is σ = 865458443612160. Its totient is φ = 53681530484736.

The previous prime is 241425561619969. The next prime is 241425561620059. The reversal of 241425561620040 is 40026165524142.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 241425561619974 and 241425561620001.

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 95 ways as a sum of consecutive naturals, for example, 1197131854 + ... + 1197333506.

It is an arithmetic number, because the mean of its divisors is an integer number (2253798030240).

Almost surely, 2^{241425561620040} is an apocalyptic number.

241425561620040 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 241425561620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432729221806080).

241425561620040 is an abundant number, since it is smaller than the sum of its proper divisors (624032881992120).

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

241425561620040 is a wasteful number, since it uses less digits than its factorization.

241425561620040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207221 (or 207210 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 241425561620040 in words is "two hundred forty-one trillion, four hundred twenty-five billion, five hundred sixty-one million, six hundred twenty thousand, forty".