39872102400000 has 1296 divisors, whose sum is σ = 155900156458410. Its totient is φ = 9814671360000.

The previous prime is 39872102399849. The next prime is 39872102400113. The reversal of 39872102400000 is 420127893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

39872102400000 is a `hidden beast` number, since 39 + 8 + 7 + 210 + 2 + 400 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 32859859451904 + 7012242948096 = 5732352^2 + 2648064^2 .

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 53 ways as a sum of consecutive naturals, for example, 3067084799994 + ... + 3067084800006.

Almost surely, 2^{39872102400000} is an apocalyptic number.

39872102400000 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 39872102400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77950078229205).

39872102400000 is an abundant number, since it is smaller than the sum of its proper divisors (116028054058410).

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

39872102400000 is an frugal number, since it uses more digits than its factorization.

39872102400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 39872102400000 its reverse (420127893), we get a palindrome (39872522527893).

The spelling of 39872102400000 in words is "thirty-nine trillion, eight hundred seventy-two billion, one hundred two million, four hundred thousand".