42351731400 has 192 divisors, whose sum is σ = 144356474880. Its totient is φ = 10186041600.

The previous prime is 42351731369. The next prime is 42351731417. The reversal of 42351731400 is 413715324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 812937 + ... + 863463.

It is an arithmetic number, because the mean of its divisors is an integer number (751856640).

Almost surely, 2^42351731400 is an apocalyptic number.

42351731400 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 42351731400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72178237440).

42351731400 is an abundant number, since it is smaller than the sum of its proper divisors (102004743480).

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

42351731400 is a wasteful number, since it uses less digits than its factorization.

42351731400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50684 (or 50675 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 42351731400 in words is "forty-two billion, three hundred fifty-one million, seven hundred thirty-one thousand, four hundred".