42273943286400 has 1152 divisors, whose sum is σ = 180361749859200. Its totient is φ = 9576966389760.

The previous prime is 42273943286317. The next prime is 42273943286489. The reversal of 42273943286400 is 468234937224.

42273943286400 is a `hidden beast` number, since 4 + 2 + 2 + 73 + 94 + 3 + 2 + 86 + 400 = 666.

42273943286400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 615047236 + ... + 615115964.

It is an arithmetic number, because the mean of its divisors is an integer number (156564018975).

Almost surely, 2^{42273943286400} is an apocalyptic number.

42273943286400 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 42273943286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90180874929600).

42273943286400 is an abundant number, since it is smaller than the sum of its proper divisors (138087806572800).

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

42273943286400 is a wasteful number, since it uses less digits than its factorization.

42273943286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68888 (or 68859 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 42273943286400 in words is "forty-two trillion, two hundred seventy-three billion, nine hundred forty-three million, two hundred eighty-six thousand, four hundred".