42102153132000 has 768 divisors, whose sum is σ = 154433436917760. Its totient is φ = 9956984832000.

The previous prime is 42102153131959. The next prime is 42102153132001. The reversal of 42102153132000 is 23135120124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102153132001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 672172684 + ... + 672235316.

It is an arithmetic number, because the mean of its divisors is an integer number (201085204320).

Almost surely, 2^{42102153132000} is an apocalyptic number.

42102153132000 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 42102153132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77216718458880).

42102153132000 is an abundant number, since it is smaller than the sum of its proper divisors (112331283785760).

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

42102153132000 is a wasteful number, since it uses less digits than its factorization.

42102153132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62844 (or 62826 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 42102153132000 its reverse (23135120124), we get a palindrome (42125288252124).

The spelling of 42102153132000 in words is "forty-two trillion, one hundred two billion, one hundred fifty-three million, one hundred thirty-two thousand".