4196620400 has 120 divisors (see below), whose sum is σ = 11542609440. Its totient is φ = 1436359680.

The previous prime is 4196620387. The next prime is 4196620427. The reversal of 4196620400 is 40266914.

It is a happy number.

It is a super-2 number, since 2×4196620400² = 35223245563392320000, 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 23 ways as a sum of consecutive naturals, for example, 2454746 + ... + 2456454.

It is an arithmetic number, because the mean of its divisors is an integer number (96188412).

Almost surely, 2^4196620400 is an apocalyptic number.

4196620400 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 4196620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771304720).

4196620400 is an abundant number, since it is smaller than the sum of its proper divisors (7345989040).

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

4196620400 is a wasteful number, since it uses less digits than its factorization.

4196620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 4196620400 is about 64781.3275566347. The cubic root of 4196620400 is about 1612.9957724806.

The spelling of 4196620400 in words is "four billion, one hundred ninety-six million, six hundred twenty thousand, four hundred".