42104272896000 has 1440 divisors, whose sum is σ = 176452591311360. Its totient is φ = 9459007488000.

The previous prime is 42104272895953. The next prime is 42104272896001. The reversal of 42104272896000 is 69827240124.

42104272896000 is a `hidden beast` number, since 4 + 2 + 10 + 4 + 2 + 7 + 28 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×42104272896000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (42104272896001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7612413235 + ... + 7612418765.

It is an arithmetic number, because the mean of its divisors is an integer number (122536521744).

Almost surely, 2^{42104272896000} is an apocalyptic number.

42104272896000 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 42104272896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88226295655680).

42104272896000 is an abundant number, since it is smaller than the sum of its proper divisors (134348318415360).

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

42104272896000 is an equidigital number, since it uses as much as digits as its factorization.

42104272896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 42104272896000 in words is "forty-two trillion, one hundred four billion, two hundred seventy-two million, eight hundred ninety-six thousand".