4202120400 has 120 divisors (see below), whose sum is σ = 13502034624. Its totient is φ = 1117132800.

The previous prime is 4202120369. The next prime is 4202120443. The reversal of 4202120400 is 40212024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4202120400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399205 + ... + 409595.

Almost surely, 2^4202120400 is an apocalyptic number.

4202120400 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 4202120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751017312).

4202120400 is an abundant number, since it is smaller than the sum of its proper divisors (9299914224).

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

4202120400 is a wasteful number, since it uses less digits than its factorization.

4202120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10749 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4202120400 is about 64823.7641609927. The cubic root of 4202120400 is about 1613.7001173371.

Adding to 4202120400 its reverse (40212024), we get a palindrome (4242332424).

The spelling of 4202120400 in words is "four billion, two hundred two million, one hundred twenty thousand, four hundred".