42670498577040 has 60 divisors (see below), whose sum is σ = 143301757723644. Its totient is φ = 11378799620352.

The previous prime is 42670498577029. The next prime is 42670498577059. The reversal of 42670498577040 is 4077589407624.

42670498577040 is a `hidden beast` number, since 4 + 2 + 6 + 70 + 498 + 5 + 7 + 70 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19669189520016 + 23001309057024 = 4434996^2 + 4795968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29632289959 + ... + 29632291398.

Almost surely, 2^{42670498577040} is an apocalyptic number.

42670498577040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42670498577040 is an abundant number, since it is smaller than the sum of its proper divisors (100631259146604).

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

42670498577040 is a wasteful number, since it uses less digits than its factorization.

42670498577040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59264581376 (or 59264581367 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 42670498577040 in words is "forty-two trillion, six hundred seventy billion, four hundred ninety-eight million, five hundred seventy-seven thousand, forty".