42007843801656 has 192 divisors, whose sum is σ = 118531156423680. Its totient is φ = 13937851077120.

The previous prime is 42007843801619. The next prime is 42007843801711. The reversal of 42007843801656 is 65610834870024.

It is a happy number.

42007843801656 is a `hidden beast` number, since 4 + 20 + 0 + 7 + 84 + 380 + 165 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1033968015 + ... + 1034008641.

It is an arithmetic number, because the mean of its divisors is an integer number (617349773040).

Almost surely, 2^{42007843801656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42007843801656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59265578211840).

42007843801656 is an abundant number, since it is smaller than the sum of its proper divisors (76523312622024).

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

42007843801656 is a wasteful number, since it uses less digits than its factorization.

42007843801656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43096 (or 43080 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 42007843801656 in words is "forty-two trillion, seven billion, eight hundred forty-three million, eight hundred one thousand, six hundred fifty-six".