42514243200000 has 5280 divisors, whose sum is σ = 197641576129536. Its totient is φ = 8957952000000.

The previous prime is 42514243199927. The next prime is 42514243200041. The reversal of 42514243200000 is 234241524.

42514243200000 is a `hidden beast` number, since 425 + 14 + 24 + 3 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1149033599982 + ... + 1149033600018.

Almost surely, 2^{42514243200000} is an apocalyptic number.

42514243200000 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 42514243200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98820788064768).

42514243200000 is an abundant number, since it is smaller than the sum of its proper divisors (155127332929536).

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

42514243200000 is a wasteful number, since it uses less digits than its factorization.

42514243200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 42514243200000 its reverse (234241524), we get a palindrome (42514477441524).

The spelling of 42514243200000 in words is "forty-two trillion, five hundred fourteen billion, two hundred forty-three million, two hundred thousand".