42691306936320 has 1536 divisors, whose sum is σ = 181693145088000. Its totient is φ = 9296682024960.

The previous prime is 42691306936309. The next prime is 42691306936357. The reversal of 42691306936320 is 2363960319624.

42691306936320 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 1 + 306 + 9 + 3 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 12063097111 + ... + 12063100649.

It is an arithmetic number, because the mean of its divisors is an integer number (118289808000).

Almost surely, 2^{42691306936320} is an apocalyptic number.

42691306936320 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 42691306936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90846572544000).

42691306936320 is an abundant number, since it is smaller than the sum of its proper divisors (139001838151680).

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

42691306936320 is a wasteful number, since it uses less digits than its factorization.

42691306936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 42691306936320 in words is "forty-two trillion, six hundred ninety-one billion, three hundred six million, nine hundred thirty-six thousand, three hundred twenty".