4196520900 has 360 divisors, whose sum is σ = 15986101824. Its totient is φ = 938822400.

The previous prime is 4196520869. The next prime is 4196520931. The reversal of 4196520900 is 90256914.

4196520900 is a `hidden beast` number, since 41 + 9 + 6 + 520 + 90 + 0 = 666.

4196520900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4196520869) and next prime (4196520931).

It is a super-2 number, since 2×4196520900² = 35221575328273620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1156489 + ... + 1160111.

Almost surely, 2^4196520900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4196520900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993050912).

4196520900 is an abundant number, since it is smaller than the sum of its proper divisors (11789580924).

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

4196520900 is a wasteful number, since it uses less digits than its factorization.

4196520900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4196520900 is about 64780.5595838752. The cubic root of 4196520900 is about 1612.9830245762.

The spelling of 4196520900 in words is "four billion, one hundred ninety-six million, five hundred twenty thousand, nine hundred".