4024721226240 has 2560 divisors, whose sum is σ = 18313827840000. Its totient is φ = 822698311680.

The previous prime is 4024721226203. The next prime is 4024721226289. The reversal of 4024721226240 is 426221274204.

4024721226240 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 7 + 2 + 1 + 22 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 = 4024721226195 and 4024721226204.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5446171791 + ... + 5446172529.

It is an arithmetic number, because the mean of its divisors is an integer number (7153839000).

Almost surely, 2^{4024721226240} is an apocalyptic number.

4024721226240 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 4024721226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156913920000).

4024721226240 is an abundant number, since it is smaller than the sum of its proper divisors (14289106613760).

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

4024721226240 is a wasteful number, since it uses less digits than its factorization.

4024721226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 4024721226240 in words is "four trillion, twenty-four billion, seven hundred twenty-one million, two hundred twenty-six thousand, two hundred forty".