42714907200 has 1008 divisors, whose sum is σ = 191950482240. Its totient is φ = 9181347840.

The previous prime is 42714907141. The next prime is 42714907201. The reversal of 42714907200 is 270941724.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×42714907200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42714907201) 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, 35985007 + ... + 35986193.

Almost surely, 2^42714907200 is an apocalyptic number.

42714907200 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 42714907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95975241120).

42714907200 is an abundant number, since it is smaller than the sum of its proper divisors (149235575040).

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

42714907200 is a wasteful number, since it uses less digits than its factorization.

42714907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 42714907200 in words is "forty-two billion, seven hundred fourteen million, nine hundred seven thousand, two hundred".