42064430662800 has 1200 divisors, whose sum is σ = 190826371386112. Its totient is φ = 8635241779200.

The previous prime is 42064430662781. The next prime is 42064430662873. The reversal of 42064430662800 is 826603446024.

42064430662800 is a `hidden beast` number, since 4 + 2 + 0 + 64 + 4 + 306 + 6 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 108898005 + ... + 109283595.

Almost surely, 2^{42064430662800} is an apocalyptic number.

42064430662800 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 42064430662800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95413185693056).

42064430662800 is an abundant number, since it is smaller than the sum of its proper divisors (148761940723312).

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

42064430662800 is a wasteful number, since it uses less digits than its factorization.

42064430662800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385678 (or 385658 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 42064430662800 in words is "forty-two trillion, sixty-four billion, four hundred thirty million, six hundred sixty-two thousand, eight hundred".