42508454400 has 480 divisors, whose sum is σ = 159407297280. Its totient is φ = 11090165760.

The previous prime is 42508454371. The next prime is 42508454437. The reversal of 42508454400 is 445480524.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 16241892 + ... + 16244508.

It is an arithmetic number, because the mean of its divisors is an integer number (332098536).

Almost surely, 2^42508454400 is an apocalyptic number.

42508454400 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 42508454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79703648640).

42508454400 is an abundant number, since it is smaller than the sum of its proper divisors (116898842880).

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

42508454400 is a wasteful number, since it uses less digits than its factorization.

42508454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 42508454400 in words is "forty-two billion, five hundred eight million, four hundred fifty-four thousand, four hundred".