241970101464 has 384 divisors, whose sum is σ = 803464704000. Its totient is φ = 60084218880.

The previous prime is 241970101463. The next prime is 241970101493. The reversal of 241970101464 is 464101079142.

241970101464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241970101463) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17528437 + ... + 17542235.

It is an arithmetic number, because the mean of its divisors is an integer number (2092356000).

Almost surely, 2^241970101464 is an apocalyptic number.

241970101464 is a gapful number since it is divisible by the number (24) 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 241970101464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401732352000).

241970101464 is an abundant number, since it is smaller than the sum of its proper divisors (561494602536).

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

241970101464 is a wasteful number, since it uses less digits than its factorization.

241970101464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13903 (or 13892 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 241970101464 in words is "two hundred forty-one billion, nine hundred seventy million, one hundred one thousand, four hundred sixty-four".