2441552855040 has 1520 divisors, whose sum is σ = 9911666706480. Its totient is φ = 570760888320.

The previous prime is 2441552855039. The next prime is 2441552855081. The reversal of 2441552855040 is 405582551442.

2441552855040 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 5 + 52 + 8 + 550 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 680347828224 + 1761205026816 = 824832^2 + 1327104^2 .

It is a super-2 number, since 2×2441552855040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40025456610 + ... + 40025456670.

Almost surely, 2^{2441552855040} is an apocalyptic number.

2441552855040 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 2441552855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955833353240).

2441552855040 is an abundant number, since it is smaller than the sum of its proper divisors (7470113851440).

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

2441552855040 is an frugal number, since it uses more digits than its factorization.

2441552855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 45.

The spelling of 2441552855040 in words is "two trillion, four hundred forty-one billion, five hundred fifty-two million, eight hundred fifty-five thousand, forty".