42779318400 has 768 divisors, whose sum is σ = 192725164800. Its totient is φ = 9024307200.

The previous prime is 42779318383. The next prime is 42779318401. The reversal of 42779318400 is 481397724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42779318401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7859680 + ... + 7865120.

It is an arithmetic number, because the mean of its divisors is an integer number (250944225).

Almost surely, 2^42779318400 is an apocalyptic number.

42779318400 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 42779318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96362582400).

42779318400 is an abundant number, since it is smaller than the sum of its proper divisors (149945846400).

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

42779318400 is a wasteful number, since it uses less digits than its factorization.

42779318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 42779318400 in words is "forty-two billion, seven hundred seventy-nine million, three hundred eighteen thousand, four hundred".