4021520106240 has 3456 divisors, whose sum is σ = 19304674099200. Its totient is φ = 773250416640.

The previous prime is 4021520106229. The next prime is 4021520106269. The reversal of 4021520106240 is 426010251204.

4021520106240 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 5 + 20 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24080958637 + ... + 24080958803.

It is an arithmetic number, because the mean of its divisors is an integer number (5585843200).

Almost surely, 2^{4021520106240} is an apocalyptic number.

4021520106240 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 4021520106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652337049600).

4021520106240 is an abundant number, since it is smaller than the sum of its proper divisors (15283153992960).

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

4021520106240 is a wasteful number, since it uses less digits than its factorization.

4021520106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4021520106240 its reverse (426010251204), we get a palindrome (4447530357444).

The spelling of 4021520106240 in words is "four trillion, twenty-one billion, five hundred twenty million, one hundred six thousand, two hundred forty".