663121499040 has 1536 divisors, whose sum is σ = 3153049804800. Its totient is φ = 125690019840.

The previous prime is 663121499039. The next prime is 663121499057. The reversal of 663121499040 is 40994121366.

663121499040 is a `hidden beast` number, since 6 + 631 + 2 + 1 + 4 + 9 + 9 + 0 + 4 + 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 255 ways as a sum of consecutive naturals, for example, 384863619 + ... + 384865341.

It is an arithmetic number, because the mean of its divisors is an integer number (2052766800).

Almost surely, 2^663121499040 is an apocalyptic number.

663121499040 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 663121499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576524902400).

663121499040 is an abundant number, since it is smaller than the sum of its proper divisors (2489928305760).

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

663121499040 is a wasteful number, since it uses less digits than its factorization.

663121499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 663121499040 in words is "six hundred sixty-three billion, one hundred twenty-one million, four hundred ninety-nine thousand, forty".