42354662400 has 528 divisors, whose sum is σ = 160977717600. Its totient is φ = 10899947520.

The previous prime is 42354662381. The next prime is 42354662401. The reversal of 42354662400 is 426645324.

42354662400 is a `hidden beast` number, since 4 + 2 + 354 + 66 + 240 + 0 = 666.

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 (42354662401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20043744 + ... + 20045856.

Almost surely, 2^42354662400 is an apocalyptic number.

42354662400 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 42354662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80488858800).

42354662400 is an abundant number, since it is smaller than the sum of its proper divisors (118623055200).

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

42354662400 is a wasteful number, since it uses less digits than its factorization.

42354662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 42354662400 in words is "forty-two billion, three hundred fifty-four million, six hundred sixty-two thousand, four hundred".