413753432400000 has 9216 divisors, whose sum is σ = 2124953669260800. Its totient is φ = 78033715200000.

The previous prime is 413753432399959. The next prime is 413753432400047. The reversal of 413753432400000 is 4234357314.

413753432400000 is a `hidden beast` number, since 4 + 1 + 3 + 75 + 343 + 240 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3661534799944 + ... + 3661534800056.

Almost surely, 2^{413753432400000} is an apocalyptic number.

413753432400000 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 413753432400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062476834630400).

413753432400000 is an abundant number, since it is smaller than the sum of its proper divisors (1711200236860800).

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

413753432400000 is a wasteful number, since it uses less digits than its factorization.

413753432400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 413753432400000 its reverse (4234357314), we get a palindrome (413757666757314).

The spelling of 413753432400000 in words is "four hundred thirteen trillion, seven hundred fifty-three billion, four hundred thirty-two million, four hundred thousand".