4185552680400 has 1920 divisors, whose sum is σ = 18170293026816. Its totient is φ = 798385766400.

The previous prime is 4185552680357. The next prime is 4185552680461. The reversal of 4185552680400 is 40862555814.

4185552680400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4185552680400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14789938659 + ... + 14789938941.

Almost surely, 2^{4185552680400} is an apocalyptic number.

4185552680400 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 4185552680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9085146513408).

4185552680400 is an abundant number, since it is smaller than the sum of its proper divisors (13984740346416).

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

4185552680400 is a wasteful number, since it uses less digits than its factorization.

4185552680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 4185552680400 in words is "four trillion, one hundred eighty-five billion, five hundred fifty-two million, six hundred eighty thousand, four hundred".