4202451541200 has 720 divisors, whose sum is σ = 15503626704384. Its totient is φ = 964855372800.

The previous prime is 4202451541193. The next prime is 4202451541207. The reversal of 4202451541200 is 21451542024.

4202451541200 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 (4202451541193) and next prime (4202451541207).

It is a super-2 number, since 2×4202451541200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202451541207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 719225479 + ... + 719231321.

Almost surely, 2^{4202451541200} is an apocalyptic number.

4202451541200 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 4202451541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7751813352192).

4202451541200 is an abundant number, since it is smaller than the sum of its proper divisors (11301175163184).

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

4202451541200 is a wasteful number, since it uses less digits than its factorization.

4202451541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 4202451541200 in words is "four trillion, two hundred two billion, four hundred fifty-one million, five hundred forty-one thousand, two hundred".