42789518438400 has 1248 divisors, whose sum is σ = 163903120957440. Its totient is φ = 10930913280000.

The previous prime is 42789518438321. The next prime is 42789518438483. The reversal of 42789518438400 is 483481598724.

It is a happy number.

42789518438400 is a `hidden beast` number, since 4 + 2 + 7 + 89 + 518 + 4 + 38 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8656586329 + ... + 8656591271.

Almost surely, 2^{42789518438400} is an apocalyptic number.

42789518438400 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 42789518438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81951560478720).

42789518438400 is an abundant number, since it is smaller than the sum of its proper divisors (121113602519040).

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

42789518438400 is a wasteful number, since it uses less digits than its factorization.

42789518438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 42789518438400 in words is "forty-two trillion, seven hundred eighty-nine billion, five hundred eighteen million, four hundred thirty-eight thousand, four hundred".