42908037120 has 832 divisors, whose sum is σ = 169093693440. Its totient is φ = 10255859712.

The previous prime is 42908037103. The next prime is 42908037127. The reversal of 42908037120 is 2173080924.

42908037120 is a `hidden beast` number, since 429 + 0 + 80 + 37 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is not an unprimeable number, because it can be changed into a prime (42908037127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337858497 + ... + 337858623.

Almost surely, 2^42908037120 is an apocalyptic number.

42908037120 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 42908037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84546846720).

42908037120 is an abundant number, since it is smaller than the sum of its proper divisors (126185656320).

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

42908037120 is a wasteful number, since it uses less digits than its factorization.

42908037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 42908037120 in words is "forty-two billion, nine hundred eight million, thirty-seven thousand, one hundred twenty".