42146913600 has 672 divisors, whose sum is σ = 169224228480. Its totient is φ = 10203494400.

The previous prime is 42146913593. The next prime is 42146913607. The reversal of 42146913600 is 631964124.

42146913600 is a `hidden beast` number, since 4 + 2 + 1 + 46 + 9 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42146913593) and next prime (42146913607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42146913607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57498834 + ... + 57499566.

Almost surely, 2^42146913600 is an apocalyptic number.

42146913600 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 42146913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84612114240).

42146913600 is an abundant number, since it is smaller than the sum of its proper divisors (127077314880).

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

42146913600 is a wasteful number, since it uses less digits than its factorization.

42146913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 42146913600 in words is "forty-two billion, one hundred forty-six million, nine hundred thirteen thousand, six hundred".