4222631891520 has 1120 divisors, whose sum is σ = 17555709270528. Its totient is φ = 943427616768.

The previous prime is 4222631891519. The next prime is 4222631891567. The reversal of 4222631891520 is 251981362224.

4222631891520 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 6 + 31 + 8 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (45) 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 (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 159 ways as a sum of consecutive naturals, for example, 3240699189 + ... + 3240700491.

Almost surely, 2^{4222631891520} is an apocalyptic number.

4222631891520 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 4222631891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777854635264).

4222631891520 is an abundant number, since it is smaller than the sum of its proper divisors (13333077379008).

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

4222631891520 is a wasteful number, since it uses less digits than its factorization.

4222631891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4222631891520 in words is "four trillion, two hundred twenty-two billion, six hundred thirty-one million, eight hundred ninety-one thousand, five hundred twenty".