42410647400 has 384 divisors, whose sum is σ = 115398328320. Its totient is φ = 14352000000.

The previous prime is 42410647361. The next prime is 42410647417. The reversal of 42410647400 is 474601424.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323745335 + ... + 323745465.

It is an arithmetic number, because the mean of its divisors is an integer number (300516480).

Almost surely, 2^42410647400 is an apocalyptic number.

42410647400 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 42410647400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57699164160).

42410647400 is an abundant number, since it is smaller than the sum of its proper divisors (72987680920).

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

42410647400 is a wasteful number, since it uses less digits than its factorization.

42410647400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 42410647400 in words is "forty-two billion, four hundred ten million, six hundred forty-seven thousand, four hundred".