42120787968000 has 2880 divisors, whose sum is σ = 183265728242688. Its totient is φ = 9453227212800.

The previous prime is 42120787967983. The next prime is 42120787968001. The reversal of 42120787968000 is 86978702124.

It is a happy number.

42120787968000 is a `hidden beast` number, since 421 + 2 + 0 + 78 + 79 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (42120787968001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 372750335944 + ... + 372750336056.

Almost surely, 2^{42120787968000} is an apocalyptic number.

42120787968000 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 42120787968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91632864121344).

42120787968000 is an abundant number, since it is smaller than the sum of its proper divisors (141144940274688).

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

42120787968000 is an equidigital number, since it uses as much as digits as its factorization.

42120787968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 42120787968000 in words is "forty-two trillion, one hundred twenty billion, seven hundred eighty-seven million, nine hundred sixty-eight thousand".