4055210040 has 256 divisors, whose sum is σ = 14571601920. Its totient is φ = 882731520.

The previous prime is 4055210023. The next prime is 4055210053. The reversal of 4055210040 is 400125504.

4055210040 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 Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4055209989 and 4055210016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8326677 + ... + 8327163.

It is an arithmetic number, because the mean of its divisors is an integer number (56920320).

Almost surely, 2^4055210040 is an apocalyptic number.

4055210040 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 4055210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285800960).

4055210040 is an abundant number, since it is smaller than the sum of its proper divisors (10516391880).

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

4055210040 is a wasteful number, since it uses less digits than its factorization.

4055210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4055210040 is about 63680.5310907502. The cubic root of 4055210040 is about 1594.6710786188.

Adding to 4055210040 its reverse (400125504), we get a palindrome (4455335544).

The spelling of 4055210040 in words is "four billion, fifty-five million, two hundred ten thousand, forty".