42174639549000 has 512 divisors, whose sum is σ = 175886231040000. Its totient is φ = 9132552748800.

The previous prime is 42174639548959. The next prime is 42174639549041. The reversal of 42174639549000 is 94593647124.

42174639549000 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 4 + 63 + 95 + 490 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42174639548959) and next prime (42174639549041).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2281270 + ... + 9463269.

It is an arithmetic number, because the mean of its divisors is an integer number (343527795000).

Almost surely, 2^{42174639549000} is an apocalyptic number.

42174639549000 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 42174639549000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87943115520000).

42174639549000 is an abundant number, since it is smaller than the sum of its proper divisors (133711591491000).

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

42174639549000 is a wasteful number, since it uses less digits than its factorization.

42174639549000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11744595 (or 11744575 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 42174639549000 in words is "forty-two trillion, one hundred seventy-four billion, six hundred thirty-nine million, five hundred forty-nine thousand".