42204943319040 has 1152 divisors, whose sum is σ = 153117946341360. Its totient is φ = 10747065139200.

The previous prime is 42204943319003. The next prime is 42204943319047. The reversal of 42204943319040 is 4091334940224.

42204943319040 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 494 + 3 + 31 + 90 + 40 = 666.

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

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 (42204943319047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 322175139775 + ... + 322175139905.

Almost surely, 2^{42204943319040} is an apocalyptic number.

42204943319040 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 42204943319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76558973170680).

42204943319040 is an abundant number, since it is smaller than the sum of its proper divisors (110913003022320).

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

42204943319040 is an equidigital number, since it uses as much as digits as its factorization.

42204943319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 42204943319040 in words is "forty-two trillion, two hundred four billion, nine hundred forty-three million, three hundred nineteen thousand, forty".