42714734400 has 756 divisors, whose sum is σ = 170318698732. Its totient is φ = 10480803840.

The previous prime is 42714734399. The next prime is 42714734401. The reversal of 42714734400 is 443741724.

It is a happy number.

42714734400 is a `hidden beast` number, since 4 + 271 + 47 + 344 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42714734399) and next prime (42714734401).

It can be written as a sum of positive squares in 6 ways, for example, as 17303823936 + 25410910464 = 131544^2 + 159408^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42714734401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 136468644 + ... + 136468956.

Almost surely, 2^42714734400 is an apocalyptic number.

42714734400 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 42714734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85159349366).

42714734400 is an abundant number, since it is smaller than the sum of its proper divisors (127603964332).

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

42714734400 is an equidigital number, since it uses as much as digits as its factorization.

42714734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 42714734400 in words is "forty-two billion, seven hundred fourteen million, seven hundred thirty-four thousand, four hundred".