42830726400 has 2160 divisors, whose sum is σ = 209770323840. Its totient is φ = 8360755200.

The previous prime is 42830726387. The next prime is 42830726417. The reversal of 42830726400 is 462703824.

42830726400 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 0 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×42830726400² (a number of 22 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 1157587182 + ... + 1157587218.

Almost surely, 2^42830726400 is an apocalyptic number.

42830726400 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 42830726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104885161920).

42830726400 is an abundant number, since it is smaller than the sum of its proper divisors (166939597440).

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

42830726400 is a wasteful number, since it uses less digits than its factorization.

42830726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42830726400 in words is "forty-two billion, eight hundred thirty million, seven hundred twenty-six thousand, four hundred".