42134014243200 has 192 divisors, whose sum is σ = 151395174285120. Its totient is φ = 10214306457600.

The previous prime is 42134014243199. The next prime is 42134014243219. The reversal of 42134014243200 is 234241043124.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199392574 + ... + 199603773.

It is an arithmetic number, because the mean of its divisors is an integer number (788516532735).

Almost surely, 2^{42134014243200} is an apocalyptic number.

42134014243200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42134014243200 is an abundant number, since it is smaller than the sum of its proper divisors (109261160041920).

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

42134014243200 is a wasteful number, since it uses less digits than its factorization.

42134014243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398996385 (or 398996368 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42134014243200 its reverse (234241043124), we get a palindrome (42368255286324).

The spelling of 42134014243200 in words is "forty-two trillion, one hundred thirty-four billion, fourteen million, two hundred forty-three thousand, two hundred".