42593126400 has 576 divisors, whose sum is σ = 170735947200. Its totient is φ = 10321920000.

The previous prime is 42593126399. The next prime is 42593126417. The reversal of 42593126400 is 462139524.

It is a happy number.

42593126400 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 3 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15205000 + ... + 15207800.

It is an arithmetic number, because the mean of its divisors is an integer number (296416575).

Almost surely, 2^42593126400 is an apocalyptic number.

42593126400 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 42593126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85367973600).

42593126400 is an abundant number, since it is smaller than the sum of its proper divisors (128142820800).

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

42593126400 is a wasteful number, since it uses less digits than its factorization.

42593126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 42593126400 in words is "forty-two billion, five hundred ninety-three million, one hundred twenty-six thousand, four hundred".