42433184102400 has 4536 divisors, whose sum is σ = 201709376570520. Its totient is φ = 8664131174400.

The previous prime is 42433184102383. The next prime is 42433184102417. The reversal of 42433184102400 is 420148133424.

42433184102400 is a `hidden beast` number, since 4 + 2 + 4 + 331 + 84 + 1 + 0 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42433184102383) and next prime (42433184102417).

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-2 number, since 2×42433184102400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 1368812390385 + ... + 1368812390415.

It is an arithmetic number, because the mean of its divisors is an integer number (44468557445).

Almost surely, 2^{42433184102400} is an apocalyptic number.

42433184102400 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 42433184102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100854688285260).

42433184102400 is an abundant number, since it is smaller than the sum of its proper divisors (159276192468120).

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

42433184102400 is an equidigital number, since it uses as much as digits as its factorization.

42433184102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42433184102400 in words is "forty-two trillion, four hundred thirty-three billion, one hundred eighty-four million, one hundred two thousand, four hundred".