42479413200 has 720 divisors, whose sum is σ = 178231211520. Its totient is φ = 9699782400.

The previous prime is 42479413159. The next prime is 42479413259. The reversal of 42479413200 is 231497424.

42479413200 is a `hidden beast` number, since 4 + 247 + 94 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42864705 + ... + 42865695.

Almost surely, 2^42479413200 is an apocalyptic number.

42479413200 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 42479413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89115605760).

42479413200 is an abundant number, since it is smaller than the sum of its proper divisors (135751798320).

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

42479413200 is an equidigital number, since it uses as much as digits as its factorization.

42479413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42479413200 in words is "forty-two billion, four hundred seventy-nine million, four hundred thirteen thousand, two hundred".