42179366400 has 240 divisors, whose sum is σ = 147535472304. Its totient is φ = 10586030080.

The previous prime is 42179366387. The next prime is 42179366401. The reversal of 42179366400 is 466397124.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42179366401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620494 + ... + 685106.

Almost surely, 2^42179366400 is an apocalyptic number.

42179366400 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 42179366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73767736152).

42179366400 is an abundant number, since it is smaller than the sum of its proper divisors (105356105904).

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

42179366400 is a wasteful number, since it uses less digits than its factorization.

42179366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64661 (or 64640 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 42179366400 in words is "forty-two billion, one hundred seventy-nine million, three hundred sixty-six thousand, four hundred".