42826351910400 has 720 divisors, whose sum is σ = 170820361998000. Its totient is φ = 10182851297280.

The previous prime is 42826351910317. The next prime is 42826351910413. The reversal of 42826351910400 is 401915362824.

42826351910400 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 635 + 1 + 9 + 1 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 36634126 + ... + 37785074.

It is an arithmetic number, because the mean of its divisors is an integer number (237250502775).

Almost surely, 2^{42826351910400} is an apocalyptic number.

42826351910400 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 42826351910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85410180999000).

42826351910400 is an abundant number, since it is smaller than the sum of its proper divisors (127994010087600).

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

42826351910400 is a wasteful number, since it uses less digits than its factorization.

42826351910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151019 (or 1150995 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42826351910400 in words is "forty-two trillion, eight hundred twenty-six billion, three hundred fifty-one million, nine hundred ten thousand, four hundred".