618429044400 has 480 divisors, whose sum is σ = 2057559736320. Its totient is φ = 158680704000.

The previous prime is 618429044393. The next prime is 618429044407. The reversal of 618429044400 is 4440924816.

It is an interprime number because it is at equal distance from previous prime (618429044393) and next prime (618429044407).

It is not an unprimeable number, because it can be changed into a prime (618429044407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1291083361 + ... + 1291083839.

It is an arithmetic number, because the mean of its divisors is an integer number (4286582784).

Almost surely, 2^618429044400 is an apocalyptic number.

618429044400 is a gapful number since it is divisible by the number (60) 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 618429044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028779868160).

618429044400 is an abundant number, since it is smaller than the sum of its proper divisors (1439130691920).

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

618429044400 is a wasteful number, since it uses less digits than its factorization.

618429044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 618429044400 in words is "six hundred eighteen billion, four hundred twenty-nine million, forty-four thousand, four hundred".