42516714240 has 1152 divisors, whose sum is σ = 202738636800. Its totient is φ = 8148418560.

The previous prime is 42516714209. The next prime is 42516714263. The reversal of 42516714240 is 4241761524.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 42516714195 and 42516714204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34593946 + ... + 34595174.

It is an arithmetic number, because the mean of its divisors is an integer number (175988400).

Almost surely, 2^42516714240 is an apocalyptic number.

42516714240 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 42516714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101369318400).

42516714240 is an abundant number, since it is smaller than the sum of its proper divisors (160221922560).

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

42516714240 is a wasteful number, since it uses less digits than its factorization.

42516714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42516714240 in words is "forty-two billion, five hundred sixteen million, seven hundred fourteen thousand, two hundred forty".