42211313466048 has 448 divisors, whose sum is σ = 129755967868800. Its totient is φ = 13439635292160.

The previous prime is 42211313465927. The next prime is 42211313466071. The reversal of 42211313466048 is 84066431311224.

42211313466048 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 1 + 3 + 1 + 34 + 6 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42211313465994 and 42211313466012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1750550440 + ... + 1750574552.

It is an arithmetic number, because the mean of its divisors is an integer number (289633856850).

Almost surely, 2^{42211313466048} is an apocalyptic number.

42211313466048 is a gapful number since it is divisible by the number (48) 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 42211313466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64877983934400).

42211313466048 is an abundant number, since it is smaller than the sum of its proper divisors (87544654402752).

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

42211313466048 is a wasteful number, since it uses less digits than its factorization.

42211313466048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24537 (or 24521 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42211313466048 in words is "forty-two trillion, two hundred eleven billion, three hundred thirteen million, four hundred sixty-six thousand, forty-eight".