42378362395200 has 1260 divisors, whose sum is σ = 168953193053568. Its totient is φ = 10414490112000.

The previous prime is 42378362395091. The next prime is 42378362395309. The reversal of 42378362395200 is 259326387324.

It is a happy number.

42378362395200 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 8 + 3 + 623 + 9 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42378362395091) and next prime (42378362395309).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 18025674025 + ... + 18025676375.

Almost surely, 2^{42378362395200} is an apocalyptic number.

42378362395200 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 42378362395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84476596526784).

42378362395200 is an abundant number, since it is smaller than the sum of its proper divisors (126574830658368).

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

42378362395200 is a wasteful number, since it uses less digits than its factorization.

42378362395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 42378362395200 in words is "forty-two trillion, three hundred seventy-eight billion, three hundred sixty-two million, three hundred ninety-five thousand, two hundred".