44100442011240 has 384 divisors, whose sum is σ = 159788887632000. Its totient is φ = 10810939539456.

The previous prime is 44100442011179. The next prime is 44100442011247. The reversal of 44100442011240 is 4211024400144.

It is a happy number.

44100442011240 is a `hidden beast` number, since 4 + 4 + 100 + 442 + 0 + 112 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44100442011247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11778216 + ... + 15064104.

It is an arithmetic number, because the mean of its divisors is an integer number (416116894875).

Almost surely, 2^{44100442011240} is an apocalyptic number.

44100442011240 is a gapful number since it is divisible by the number (40) 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 44100442011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79894443816000).

44100442011240 is an abundant number, since it is smaller than the sum of its proper divisors (115688445620760).

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

44100442011240 is a wasteful number, since it uses less digits than its factorization.

44100442011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285986 (or 3285959 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44100442011240 its reverse (4211024400144), we get a palindrome (48311466411384).

The spelling of 44100442011240 in words is "forty-four trillion, one hundred billion, four hundred forty-two million, eleven thousand, two hundred forty".