42363365990400 has 5040 divisors, whose sum is σ = 207926212808160. Its totient is φ = 8427641241600.

The previous prime is 42363365990371. The next prime is 42363365990447. The reversal of 42363365990400 is 409956336324.

42363365990400 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 3 + 3 + 6 + 599 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 200774246295 + ... + 200774246505.

It is an arithmetic number, because the mean of its divisors is an integer number (41255200954).

Almost surely, 2^{42363365990400} is an apocalyptic number.

42363365990400 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 42363365990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103963106404080).

42363365990400 is an abundant number, since it is smaller than the sum of its proper divisors (165562846817760).

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

42363365990400 is a wasteful number, since it uses less digits than its factorization.

42363365990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 42363365990400 in words is "forty-two trillion, three hundred sixty-three billion, three hundred sixty-five million, nine hundred ninety thousand, four hundred".