4224628590840 has 384 divisors, whose sum is σ = 16756203110400. Its totient is φ = 902256122880.

The previous prime is 4224628590823. The next prime is 4224628590859. The reversal of 4224628590840 is 480958264224.

4224628590840 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 6 + 2 + 8 + 590 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1333089 + ... + 3197871.

It is an arithmetic number, because the mean of its divisors is an integer number (43635945600).

Almost surely, 2^{4224628590840} is an apocalyptic number.

4224628590840 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 4224628590840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378101555200).

4224628590840 is an abundant number, since it is smaller than the sum of its proper divisors (12531574519560).

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

4224628590840 is a wasteful number, since it uses less digits than its factorization.

4224628590840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864867 (or 1864860 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4224628590840 in words is "four trillion, two hundred twenty-four billion, six hundred twenty-eight million, five hundred ninety thousand, eight hundred forty".