42438861204480 has 1848 divisors, whose sum is σ = 174027907080720. Its totient is φ = 9893878824960.

The previous prime is 42438861204451. The next prime is 42438861204503. The reversal of 42438861204480 is 8440216883424.

It is a happy number.

42438861204480 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 88 + 61 + 20 + 4 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11984991510 + ... + 11984995050.

It is an arithmetic number, because the mean of its divisors is an integer number (94170945390).

Almost surely, 2^{42438861204480} is an apocalyptic number.

42438861204480 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 42438861204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87013953540360).

42438861204480 is an abundant number, since it is smaller than the sum of its proper divisors (131589045876240).

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

42438861204480 is a wasteful number, since it uses less digits than its factorization.

42438861204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 42438861204480 in words is "forty-two trillion, four hundred thirty-eight billion, eight hundred sixty-one million, two hundred four thousand, four hundred eighty".