42684370478400 has 672 divisors, whose sum is σ = 164353510662400. Its totient is φ = 9694225981440.

The previous prime is 42684370478363. The next prime is 42684370478429. The reversal of 42684370478400 is 487407348624.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×42684370478400³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258402234 + ... + 258567366.

Almost surely, 2^{42684370478400} is an apocalyptic number.

42684370478400 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 42684370478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82176755331200).

42684370478400 is an abundant number, since it is smaller than the sum of its proper divisors (121669140184000).

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

42684370478400 is a wasteful number, since it uses less digits than its factorization.

42684370478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165336 (or 165307 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 57.

The spelling of 42684370478400 in words is "forty-two trillion, six hundred eighty-four billion, three hundred seventy million, four hundred seventy-eight thousand, four hundred".