241920401544 has 192 divisors, whose sum is σ = 713787984000. Its totient is φ = 76614253056.

The previous prime is 241920401543. The next prime is 241920401549. The reversal of 241920401544 is 445104029142.

241920401544 is a `hidden beast` number, since 24 + 1 + 92 + 0 + 4 + 0 + 1 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241920401499 and 241920401508.

It is not an unprimeable number, because it can be changed into a prime (241920401543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6643932 + ... + 6680244.

It is an arithmetic number, because the mean of its divisors is an integer number (3717645750).

Almost surely, 2^241920401544 is an apocalyptic number.

241920401544 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 241920401544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356893992000).

241920401544 is an abundant number, since it is smaller than the sum of its proper divisors (471867582456).

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

241920401544 is a wasteful number, since it uses less digits than its factorization.

241920401544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36506 (or 36490 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 241920401544 in words is "two hundred forty-one billion, nine hundred twenty million, four hundred one thousand, five hundred forty-four".