2148009940440 has 2592 divisors, whose sum is σ = 9890562885840. Its totient is φ = 415503406080.

The previous prime is 2148009940411. The next prime is 2148009940441. The reversal of 2148009940440 is 440499008412.

2148009940440 is a `hidden beast` number, since 2 + 1 + 4 + 80 + 0 + 99 + 40 + 440 = 666.

It is a super-2 number, since 2×2148009940440² (a number of 25 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 not an unprimeable number, because it can be changed into a prime (2148009940441) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 69290643225 + ... + 69290643255.

Almost surely, 2^{2148009940440} is an apocalyptic number.

2148009940440 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 2148009940440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945281442920).

2148009940440 is an abundant number, since it is smaller than the sum of its proper divisors (7742552945400).

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

2148009940440 is a wasteful number, since it uses less digits than its factorization.

2148009940440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2148009940440 in words is "two trillion, one hundred forty-eight billion, nine million, nine hundred forty thousand, four hundred forty".