42213214592640 has 3584 divisors, whose sum is σ = 192840455808000. Its totient is φ = 8775281442816.

The previous prime is 42213214592639. The next prime is 42213214592651. The reversal of 42213214592640 is 4629541231224.

42213214592640 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 3 + 2 + 14 + 592 + 6 + 40 = 666.

It is a super-2 number, since 2×42213214592640² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 214280277022 + ... + 214280277218.

It is an arithmetic number, because the mean of its divisors is an integer number (53805930750).

Almost surely, 2^{42213214592640} is an apocalyptic number.

42213214592640 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 42213214592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96420227904000).

42213214592640 is an abundant number, since it is smaller than the sum of its proper divisors (150627241215360).

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

42213214592640 is a wasteful number, since it uses less digits than its factorization.

42213214592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42213214592640 in words is "forty-two trillion, two hundred thirteen billion, two hundred fourteen million, five hundred ninety-two thousand, six hundred forty".