39493814400 has 288 divisors, whose sum is σ = 144204780720. Its totient is φ = 10286438400.

The previous prime is 39493814363. The next prime is 39493814407. The reversal of 39493814400 is 441839493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×39493814400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (39493814407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1222455 + ... + 1254345.

Almost surely, 2^39493814400 is an apocalyptic number.

39493814400 is a gapful number since it is divisible by the number (30) 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 39493814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72102390360).

39493814400 is an abundant number, since it is smaller than the sum of its proper divisors (104710966320).

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

39493814400 is a wasteful number, since it uses less digits than its factorization.

39493814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31964 (or 31944 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 39493814400 in words is "thirty-nine billion, four hundred ninety-three million, eight hundred fourteen thousand, four hundred".