42049644120 has 384 divisors, whose sum is σ = 151720058880. Its totient is φ = 10098950400.

The previous prime is 42049644107. The next prime is 42049644137. The reversal of 42049644120 is 2144694024.

It is a happy number.

42049644120 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 9 + 644 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60852975 + ... + 60853665.

It is an arithmetic number, because the mean of its divisors is an integer number (395104320).

Almost surely, 2^42049644120 is an apocalyptic number.

42049644120 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 42049644120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75860029440).

42049644120 is an abundant number, since it is smaller than the sum of its proper divisors (109670414760).

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

42049644120 is a wasteful number, since it uses less digits than its factorization.

42049644120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42049644120 in words is "forty-two billion, forty-nine million, six hundred forty-four thousand, one hundred twenty".