4140920322 has 288 divisors, whose sum is σ = 12050438400. Its totient is φ = 1024531200.

The previous prime is 4140920309. The next prime is 4140920341. The reversal of 4140920322 is 2230290414.

4140920322 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4140920322² = 34294442226305167368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17182122 + ... + 17182362.

It is an arithmetic number, because the mean of its divisors is an integer number (41841800).

Almost surely, 2^4140920322 is an apocalyptic number.

4140920322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140920322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025219200).

4140920322 is an abundant number, since it is smaller than the sum of its proper divisors (7909518078).

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

4140920322 is a wasteful number, since it uses less digits than its factorization.

4140920322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4140920322 is about 64349.9830769209. The cubic root of 4140920322 is about 1605.8277478358.

It can be divided in two parts, 41409203 and 22, that added together give a square (41409225 = 6435²).

The spelling of 4140920322 in words is "four billion, one hundred forty million, nine hundred twenty thousand, three hundred twenty-two".