42675213504 has 448 divisors, whose sum is σ = 145133568000. Its totient is φ = 10746777600.

The previous prime is 42675213487. The next prime is 42675213527. The reversal of 42675213504 is 40531257624.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×42675213504² (a number of 22 digits) contains 22 as substring.

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, 71243797 + ... + 71244395.

Almost surely, 2^42675213504 is an apocalyptic number.

42675213504 is a gapful number since it is divisible by the number (44) 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 42675213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72566784000).

42675213504 is an abundant number, since it is smaller than the sum of its proper divisors (102458354496).

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

42675213504 is a wasteful number, since it uses less digits than its factorization.

42675213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 42675213504 in words is "forty-two billion, six hundred seventy-five million, two hundred thirteen thousand, five hundred four".