42522278400000 has 3744 divisors, whose sum is σ = 191411418885120. Its totient is φ = 9405849600000.

The previous prime is 42522278399987. The next prime is 42522278400011. The reversal of 42522278400000 is 487222524.

42522278400000 is a `hidden beast` number, since 4 + 25 + 2 + 227 + 8 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1371686399985 + ... + 1371686400015.

Almost surely, 2^{42522278400000} is an apocalyptic number.

42522278400000 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 42522278400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95705709442560).

42522278400000 is an abundant number, since it is smaller than the sum of its proper divisors (148889140485120).

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

42522278400000 is an frugal number, since it uses more digits than its factorization.

42522278400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 42522278400000 in words is "forty-two trillion, five hundred twenty-two billion, two hundred seventy-eight million, four hundred thousand".