42141254400 has 1296 divisors, whose sum is σ = 184515968000. Its totient is φ = 9510359040.

The previous prime is 42141254369. The next prime is 42141254411. The reversal of 42141254400 is 445214124.

42141254400 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 1 + 254 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 533433561 + ... + 533433639.

Almost surely, 2^42141254400 is an apocalyptic number.

42141254400 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 42141254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92257984000).

42141254400 is an abundant number, since it is smaller than the sum of its proper divisors (142374713600).

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

42141254400 is an frugal number, since it uses more digits than its factorization.

42141254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 42141254400 its reverse (445214124), we get a palindrome (42586468524).

The spelling of 42141254400 in words is "forty-two billion, one hundred forty-one million, two hundred fifty-four thousand, four hundred".