241147779840 has 1728 divisors, whose sum is σ = 1044690296832. Its totient is φ = 50606899200.

The previous prime is 241147779791. The next prime is 241147779853. The reversal of 241147779840 is 48977741142.

241147779840 is a `hidden beast` number, since 2 + 41 + 1 + 477 + 7 + 98 + 40 = 666.

It is a super-2 number, since 2×241147779840² (a number of 24 digits) contains 22 as substring.

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, 1535973042 + ... + 1535973198.

It is an arithmetic number, because the mean of its divisors is an integer number (604566144).

Almost surely, 2^241147779840 is an apocalyptic number.

241147779840 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 241147779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522345148416).

241147779840 is an abundant number, since it is smaller than the sum of its proper divisors (803542516992).

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

241147779840 is a wasteful number, since it uses less digits than its factorization.

241147779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 241147779840 in words is "two hundred forty-one billion, one hundred forty-seven million, seven hundred seventy-nine thousand, eight hundred forty".