4632800387040 has 384 divisors, whose sum is σ = 18649253790720. Its totient is φ = 1052179974144.

The previous prime is 4632800387029. The next prime is 4632800387041. The reversal of 4632800387040 is 407830082364.

4632800387040 is a `hidden beast` number, since 4 + 632 + 8 + 0 + 0 + 3 + 8 + 7 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632800387041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4259779 + ... + 5235581.

It is an arithmetic number, because the mean of its divisors is an integer number (48565765080).

Almost surely, 2^{4632800387040} is an apocalyptic number.

4632800387040 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 4632800387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9324626895360).

4632800387040 is an abundant number, since it is smaller than the sum of its proper divisors (14016453403680).

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

4632800387040 is a wasteful number, since it uses less digits than its factorization.

4632800387040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975991 (or 975977 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4632800387040 in words is "four trillion, six hundred thirty-two billion, eight hundred million, three hundred eighty-seven thousand, forty".