4132020000 has 240 divisors, whose sum is σ = 14354680032. Its totient is φ = 1036800000.

The previous prime is 4132019971. The next prime is 4132020023. The reversal of 4132020000 is 202314.

4132020000 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 tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1017975 + ... + 1022025.

Almost surely, 2^4132020000 is an apocalyptic number.

4132020000 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 4132020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177340016).

4132020000 is an abundant number, since it is smaller than the sum of its proper divisors (10222660032).

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

4132020000 is a wasteful number, since it uses less digits than its factorization.

4132020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4132020000 is about 64280.7902876124. The cubic root of 4132020000 is about 1604.6764227693.

Adding to 4132020000 its reverse (202314), we get a palindrome (4132222314).

The spelling of 4132020000 in words is "four billion, one hundred thirty-two million, twenty thousand".