42667679439840 has 1536 divisors, whose sum is σ = 174088341504000. Its totient is φ = 8723464888320.

The previous prime is 42667679439839. The next prime is 42667679439851. The reversal of 42667679439840 is 4893497676624.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12056420791 + ... + 12056424329.

It is an arithmetic number, because the mean of its divisors is an integer number (113338764000).

Almost surely, 2^{42667679439840} is an apocalyptic number.

42667679439840 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 42667679439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87044170752000).

42667679439840 is an abundant number, since it is smaller than the sum of its proper divisors (131420662064160).

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

42667679439840 is a wasteful number, since it uses less digits than its factorization.

42667679439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 75.

The spelling of 42667679439840 in words is "forty-two trillion, six hundred sixty-seven billion, six hundred seventy-nine million, four hundred thirty-nine thousand, eight hundred forty".