4211299840 has 320 divisors, whose sum is σ = 12303498240. Its totient is φ = 1362493440.

The previous prime is 4211299787. The next prime is 4211299843. The reversal of 4211299840 is 489921124.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4211299793 and 4211299802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211299843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9095449 + ... + 9095911.

It is an arithmetic number, because the mean of its divisors is an integer number (38448432).

Almost surely, 2^4211299840 is an apocalyptic number.

4211299840 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 4211299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151749120).

4211299840 is an abundant number, since it is smaller than the sum of its proper divisors (8092198400).

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

4211299840 is a wasteful number, since it uses less digits than its factorization.

4211299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 4211299840 is about 64894.5285829245. The cubic root of 4211299840 is about 1614.8742936212.

The spelling of 4211299840 in words is "four billion, two hundred eleven million, two hundred ninety-nine thousand, eight hundred forty".