4021126986240 has 1920 divisors, whose sum is σ = 17908745766912. Its totient is φ = 842047488000.

The previous prime is 4021126986203. The next prime is 4021126986353. The reversal of 4021126986240 is 426896211204.

It is a happy number.

4021126986240 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 12 + 6 + 9 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14208929139 + ... + 14208929421.

Almost surely, 2^{4021126986240} is an apocalyptic number.

4021126986240 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 4021126986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8954372883456).

4021126986240 is an abundant number, since it is smaller than the sum of its proper divisors (13887618780672).

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

4021126986240 is a wasteful number, since it uses less digits than its factorization.

4021126986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 564 counting only the distinct ones).

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

The spelling of 4021126986240 in words is "four trillion, twenty-one billion, one hundred twenty-six million, nine hundred eighty-six thousand, two hundred forty".