372124400400 has 225 divisors, whose sum is σ = 1335918803791. Its totient is φ = 99203892480.

The previous prime is 372124400369. The next prime is 372124400407. The reversal of 372124400400 is 4004421273.

The square root of 372124400400 is 610020.

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

372124400400 is a `hidden beast` number, since 3 + 7 + 212 + 4 + 40 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76779976464 + 295344423936 = 277092^2 + 543456^2 .

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

It is a super-3 number, since 3×372124400400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (372124400407) 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 44 ways as a sum of consecutive naturals, for example, 109801906 + ... + 109805294.

Almost surely, 2^372124400400 is an apocalyptic number.

372124400400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

372124400400 is the 610020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372124400400

372124400400 is an abundant number, since it is smaller than the sum of its proper divisors (963794403391).

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

372124400400 is an frugal number, since it uses more digits than its factorization.

372124400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 372124400400 its reverse (4004421273), we get a palindrome (376128821673).

The spelling of 372124400400 in words is "three hundred seventy-two billion, one hundred twenty-four million, four hundred thousand, four hundred".