42154500784 has 240 divisors, whose sum is σ = 99268646400. Its totient is φ = 17260024320.

The previous prime is 42154500757. The next prime is 42154500889. The reversal of 42154500784 is 48700545124.

It is a super-2 number, since 2×42154500784² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63967047 + ... + 63967705.

It is an arithmetic number, because the mean of its divisors is an integer number (413619360).

Almost surely, 2^42154500784 is an apocalyptic number.

42154500784 is a gapful number since it is divisible by the number (44) 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 42154500784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49634323200).

42154500784 is an abundant number, since it is smaller than the sum of its proper divisors (57114145616).

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

42154500784 is a wasteful number, since it uses less digits than its factorization.

42154500784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 42154500784 in words is "forty-two billion, one hundred fifty-four million, five hundred thousand, seven hundred eighty-four".