42102912000 has 352 divisors, whose sum is σ = 141844719744. Its totient is φ = 11083776000.

The previous prime is 42102911999. The next prime is 42102912001. The reversal of 42102912000 is 21920124.

It is an interprime number because it is at equal distance from previous prime (42102911999) and next prime (42102912001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102912001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31871340 + ... + 31872660.

Almost surely, 2^42102912000 is an apocalyptic number.

42102912000 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 42102912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70922359872).

42102912000 is an abundant number, since it is smaller than the sum of its proper divisors (99741807744).

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

42102912000 is a wasteful number, since it uses less digits than its factorization.

42102912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 42102912000 in words is "forty-two billion, one hundred two million, nine hundred twelve thousand".