42774162480000 has 2240 divisors, whose sum is σ = 188803815314400. Its totient is φ = 9437202432000.

The previous prime is 42774162479959. The next prime is 42774162480017. The reversal of 42774162480000 is 8426147724.

42774162480000 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 4 + 162 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 11838958194 + ... + 11838961806.

Almost surely, 2^{42774162480000} is an apocalyptic number.

42774162480000 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 42774162480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94401907657200).

42774162480000 is an abundant number, since it is smaller than the sum of its proper divisors (146029652834400).

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

42774162480000 is an frugal number, since it uses more digits than its factorization.

42774162480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 42774162480000 in words is "forty-two trillion, seven hundred seventy-four billion, one hundred sixty-two million, four hundred eighty thousand".