481699140710400 has 1872 divisors, whose sum is σ = 1940536923719680. Its totient is φ = 116991118540800.

The previous prime is 481699140710377. The next prime is 481699140710407. The reversal of 481699140710400 is 4017041996184.

It is a happy number.

481699140710400 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 99 + 140 + 7 + 1 + 0 + 400 = 666.

It is a super-2 number, since 2×481699140710400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (481699140710407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24769833477 + ... + 24769852923.

Almost surely, 2^{481699140710400} is an apocalyptic number.

481699140710400 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 481699140710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970268461859840).

481699140710400 is an abundant number, since it is smaller than the sum of its proper divisors (1458837783009280).

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

481699140710400 is a wasteful number, since it uses less digits than its factorization.

481699140710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19555 (or 19505 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 481699140710400 in words is "four hundred eighty-one trillion, six hundred ninety-nine billion, one hundred forty million, seven hundred ten thousand, four hundred".