42979507200 has 1386 divisors, whose sum is σ = 189764858736. Its totient is φ = 9614868480.

The previous prime is 42979507199. The next prime is 42979507201. The reversal of 42979507200 is 270597924.

It is an interprime number because it is at equal distance from previous prime (42979507199) and next prime (42979507201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42979507201) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 914457577 + ... + 914457623.

Almost surely, 2^42979507200 is an apocalyptic number.

42979507200 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 42979507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94882429368).

42979507200 is an abundant number, since it is smaller than the sum of its proper divisors (146785351536).

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

42979507200 is an equidigital number, since it uses as much as digits as its factorization.

42979507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 42979507200 in words is "forty-two billion, nine hundred seventy-nine million, five hundred seven thousand, two hundred".