42106992721920 has 2880 divisors, whose sum is σ = 187970406624000. Its totient is φ = 8989483991040.

The previous prime is 42106992721909. The next prime is 42106992721921. The reversal of 42106992721920 is 2912729960124.

It is a happy number.

42106992721920 is a `hidden beast` number, since 421 + 0 + 6 + 9 + 9 + 27 + 2 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42106992721921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 593056235485 + ... + 593056235555.

It is an arithmetic number, because the mean of its divisors is an integer number (65267502300).

Almost surely, 2^{42106992721920} is an apocalyptic number.

42106992721920 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 42106992721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93985203312000).

42106992721920 is an abundant number, since it is smaller than the sum of its proper divisors (145863413902080).

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

42106992721920 is an frugal number, since it uses more digits than its factorization.

42106992721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 42106992721920 in words is "forty-two trillion, one hundred six billion, nine hundred ninety-two million, seven hundred twenty-one thousand, nine hundred twenty".