4120224869376 has 1320 divisors, whose sum is σ = 16296647406336. Its totient is φ = 1023402885120.

The previous prime is 4120224869359. The next prime is 4120224869437. The reversal of 4120224869376 is 6739684220214.

It is a happy number.

4120224869376 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 2 + 2 + 486 + 93 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1028254765 + ... + 1028258771.

Almost surely, 2^{4120224869376} is an apocalyptic number.

4120224869376 is a gapful number since it is divisible by the number (46) 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 4120224869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8148323703168).

4120224869376 is an abundant number, since it is smaller than the sum of its proper divisors (12176422536960).

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

4120224869376 is a wasteful number, since it uses less digits than its factorization.

4120224869376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4120224869376 in words is "four trillion, one hundred twenty billion, two hundred twenty-four million, eight hundred sixty-nine thousand, three hundred seventy-six".