42910358400 has 864 divisors, whose sum is σ = 191895139800. Its totient is φ = 9049743360.

The previous prime is 42910358389. The next prime is 42910358443. The reversal of 42910358400 is 485301924.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18344431 + ... + 18346769.

Almost surely, 2^42910358400 is an apocalyptic number.

42910358400 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 42910358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95947569900).

42910358400 is an abundant number, since it is smaller than the sum of its proper divisors (148984781400).

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

42910358400 is a wasteful number, since it uses less digits than its factorization.

42910358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 42910358400 in words is "forty-two billion, nine hundred ten million, three hundred fifty-eight thousand, four hundred".