4220011400 has 192 divisors, whose sum is σ = 11313561600. Its totient is φ = 1449504000.

The previous prime is 4220011381. The next prime is 4220011417. The reversal of 4220011400 is 41100224.

It is a super-2 number, since 2×4220011400² = 35616992432259920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2931881 + ... + 2933319.

It is an arithmetic number, because the mean of its divisors is an integer number (58924800).

Almost surely, 2^4220011400 is an apocalyptic number.

4220011400 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 4220011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656780800).

4220011400 is an abundant number, since it is smaller than the sum of its proper divisors (7093550200).

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

4220011400 is a wasteful number, since it uses less digits than its factorization.

4220011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4220011400 is about 64961.6148198303. The cubic root of 4220011400 is about 1615.9870446712.

Adding to 4220011400 its reverse (41100224), we get a palindrome (4261111624).

The spelling of 4220011400 in words is "four billion, two hundred twenty million, eleven thousand, four hundred".