42313190400 has 1056 divisors, whose sum is σ = 177821743680. Its totient is φ = 9767485440.

The previous prime is 42313190389. The next prime is 42313190407. The reversal of 42313190400 is 409131324.

42313190400 is a `hidden beast` number, since 42 + 3 + 131 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42313190407) 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, 152755062 + ... + 152755338.

Almost surely, 2^42313190400 is an apocalyptic number.

42313190400 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 42313190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88910871840).

42313190400 is an abundant number, since it is smaller than the sum of its proper divisors (135508553280).

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

42313190400 is a wasteful number, since it uses less digits than its factorization.

42313190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 42313190400 in words is "forty-two billion, three hundred thirteen million, one hundred ninety thousand, four hundred".