42094974468096 has 495 divisors, whose sum is σ = 138237817372963. Its totient is φ = 12756052869120.

The previous prime is 42094974468089. The next prime is 42094974468097. The reversal of 42094974468096 is 69086447949024.

It is a happy number.

The square root of 42094974468096 is 6488064.

It is a perfect power (a square), and thus also a powerful number.

42094974468096 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 4 + 9 + 74 + 468 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (42094974468097) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3826815860731 + ... + 3826815860741.

Almost surely, 2^{42094974468096} is an apocalyptic number.

42094974468096 is the 6488064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42094974468096

42094974468096 is an abundant number, since it is smaller than the sum of its proper divisors (96142842904867).

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

42094974468096 is an frugal number, since it uses more digits than its factorization.

42094974468096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 42094974468096 in words is "forty-two trillion, ninety-four billion, nine hundred seventy-four million, four hundred sixty-eight thousand, ninety-six".