42125990400 has 720 divisors, whose sum is σ = 169551398016. Its totient is φ = 9910517760.

The previous prime is 42125990369. The next prime is 42125990437. The reversal of 42125990400 is 409952124.

42125990400 is a `hidden beast` number, since 4 + 21 + 2 + 599 + 0 + 40 + 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 (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 71 ways as a sum of consecutive naturals, for example, 34444189 + ... + 34445411.

Almost surely, 2^42125990400 is an apocalyptic number.

42125990400 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 42125990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84775699008).

42125990400 is an abundant number, since it is smaller than the sum of its proper divisors (127425407616).

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

42125990400 is a wasteful number, since it uses less digits than its factorization.

42125990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 42125990400 in words is "forty-two billion, one hundred twenty-five million, nine hundred ninety thousand, four hundred".