42333760778400 has 2592 divisors, whose sum is σ = 195537384806400. Its totient is φ = 8532150681600.

The previous prime is 42333760778357. The next prime is 42333760778423. The reversal of 42333760778400 is 487706733324.

It is a happy number.

42333760778400 is a `hidden beast` number, since 4 + 23 + 3 + 3 + 7 + 607 + 7 + 8 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11232091716 + ... + 11232095484.

Almost surely, 2^{42333760778400} is an apocalyptic number.

42333760778400 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 42333760778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97768692403200).

42333760778400 is an abundant number, since it is smaller than the sum of its proper divisors (153203624028000).

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

42333760778400 is a wasteful number, since it uses less digits than its factorization.

42333760778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 42333760778400 in words is "forty-two trillion, three hundred thirty-three billion, seven hundred sixty million, seven hundred seventy-eight thousand, four hundred".