42933363200 has 960 divisors, whose sum is σ = 143210833920. Its totient is φ = 12386304000.

The previous prime is 42933363197. The next prime is 42933363203. The reversal of 42933363200 is 236333924.

It is an interprime number because it is at equal distance from previous prime (42933363197) and next prime (42933363203).

It is a super-2 number, since 2×42933363200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42933363203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1047155180 + ... + 1047155220.

It is an arithmetic number, because the mean of its divisors is an integer number (149177952).

Almost surely, 2^42933363200 is an apocalyptic number.

42933363200 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 42933363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71605416960).

42933363200 is an abundant number, since it is smaller than the sum of its proper divisors (100277470720).

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

42933363200 is a wasteful number, since it uses less digits than its factorization.

42933363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 35.

The spelling of 42933363200 in words is "forty-two billion, nine hundred thirty-three million, three hundred sixty-three thousand, two hundred".