4429762090000 has 225 divisors, whose sum is σ = 11620527594753. Its totient is φ = 1634594208000.

The previous prime is 4429762089971. The next prime is 4429762090067. The reversal of 4429762090000 is 902679244.

The square root of 4429762090000 is 2104700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4375409695504 + 54352394496 = 2091748^2 + 233136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2736109191 + ... + 2736110809.

Almost surely, 2^{4429762090000} is an apocalyptic number.

4429762090000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4429762090000 is the 2104700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4429762090000

4429762090000 is an abundant number, since it is smaller than the sum of its proper divisors (7190765504753).

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

4429762090000 is an frugal number, since it uses more digits than its factorization.

4429762090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 4429762090000 in words is "four trillion, four hundred twenty-nine billion, seven hundred sixty-two million, ninety thousand".