42818699768320 has 480 divisors, whose sum is σ = 126093777606720. Its totient is φ = 13865755115520.

The previous prime is 42818699768309. The next prime is 42818699768347. The reversal of 42818699768320 is 2386799681824.

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, 788865022 + ... + 788919298.

It is an arithmetic number, because the mean of its divisors is an integer number (262695370014).

Almost surely, 2^{42818699768320} is an apocalyptic number.

42818699768320 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 42818699768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63046888803360).

42818699768320 is an abundant number, since it is smaller than the sum of its proper divisors (83275077838400).

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

42818699768320 is a wasteful number, since it uses less digits than its factorization.

42818699768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54664 (or 54641 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 73.

The spelling of 42818699768320 in words is "forty-two trillion, eight hundred eighteen billion, six hundred ninety-nine million, seven hundred sixty-eight thousand, three hundred twenty".