39848144400 has 225 divisors, whose sum is σ = 143140864471. Its totient is φ = 10616590080.

The previous prime is 39848144377. The next prime is 39848144411. The reversal of 39848144400 is 444184893.

The square root of 39848144400 is 199620.

It is a perfect power (a square), and thus also a powerful number.

39848144400 is a `hidden beast` number, since 3 + 98 + 481 + 44 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20498221584 + 19349922816 = 143172^2 + 139104^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×39848144400² (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 a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35931046 + ... + 35932154.

Almost surely, 2^39848144400 is an apocalyptic number.

39848144400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39848144400 is the 199620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39848144400

39848144400 is an abundant number, since it is smaller than the sum of its proper divisors (103292720071).

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

39848144400 is an equidigital number, since it uses as much as digits as its factorization.

39848144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 39848144400 in words is "thirty-nine billion, eight hundred forty-eight million, one hundred forty-four thousand, four hundred".