627441085440 has 1232 divisors, whose sum is σ = 2479293451488. Its totient is φ = 151353556992.

The previous prime is 627441085433. The next prime is 627441085457. The reversal of 627441085440 is 44580144726.

627441085440 is a `hidden beast` number, since 62 + 7 + 4 + 41 + 0 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3250989984 + ... + 3250990176.

Almost surely, 2^627441085440 is an apocalyptic number.

627441085440 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 627441085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239646725744).

627441085440 is an abundant number, since it is smaller than the sum of its proper divisors (1851852366048).

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

627441085440 is a wasteful number, since it uses less digits than its factorization.

627441085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 627441085440 in words is "six hundred twenty-seven billion, four hundred forty-one million, eighty-five thousand, four hundred forty".