42412398494400 has 504 divisors, whose sum is σ = 165398320352304. Its totient is φ = 10222354636800.

The previous prime is 42412398494399. The next prime is 42412398494419. The reversal of 42412398494400 is 449489321424.

42412398494400 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 23 + 98 + 494 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26629342 + ... + 28177058.

Almost surely, 2^{42412398494400} is an apocalyptic number.

42412398494400 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 42412398494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82699160176152).

42412398494400 is an abundant number, since it is smaller than the sum of its proper divisors (122985921857904).

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

42412398494400 is a wasteful number, since it uses less digits than its factorization.

42412398494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547929 (or 1547911 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 42412398494400 in words is "forty-two trillion, four hundred twelve billion, three hundred ninety-eight million, four hundred ninety-four thousand, four hundred".