42115514034000 has 320 divisors, whose sum is σ = 150210363064320. Its totient is φ = 10066020160000.

The previous prime is 42115514033981. The next prime is 42115514034031. The reversal of 42115514034000 is 43041551124.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192241 + ... + 9179759.

It is an arithmetic number, because the mean of its divisors is an integer number (469407384576).

Almost surely, 2^{42115514034000} is an apocalyptic number.

42115514034000 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 42115514034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75105181532160).

42115514034000 is an abundant number, since it is smaller than the sum of its proper divisors (108094849030320).

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

42115514034000 is a wasteful number, since it uses less digits than its factorization.

42115514034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987627 (or 8987611 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 42115514034000 its reverse (43041551124), we get a palindrome (42158555585124).

The spelling of 42115514034000 in words is "forty-two trillion, one hundred fifteen billion, five hundred fourteen million, thirty-four thousand".