42462936198144 has 2112 divisors, whose sum is σ = 167094939648000. Its totient is φ = 10666233446400.

The previous prime is 42462936198143. The next prime is 42462936198191. The reversal of 42462936198144 is 44189163926424.

42462936198144 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 2 + 9 + 3 + 619 + 8 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42462936198143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29104136487 + ... + 29104137945.

Almost surely, 2^{42462936198144} is an apocalyptic number.

42462936198144 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 42462936198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83547469824000).

42462936198144 is an abundant number, since it is smaller than the sum of its proper divisors (124632003449856).

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

42462936198144 is a wasteful number, since it uses less digits than its factorization.

42462936198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1513 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 42462936198144 in words is "forty-two trillion, four hundred sixty-two billion, nine hundred thirty-six million, one hundred ninety-eight thousand, one hundred forty-four".