10236672270400 has 63 divisors (see below), whose sum is σ = 25188926618109. Its totient is φ = 4094617716480.

The previous prime is 10236672270379. The next prime is 10236672270401. The reversal of 10236672270400 is 407227663201.

It is a happy number.

The square root of 10236672270400 is 3199480.

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

It can be written as a sum of positive squares in only one way, i.e., 3685202017344 + 6551470253056 = 1919688^2 + 2559584^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10236672270401) 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 8 ways as a sum of consecutive naturals, for example, 127939207 + ... + 128019193.

Almost surely, 2^{10236672270400} is an apocalyptic number.

10236672270400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10236672270400 is the 3199480-th square number.

It is an amenable number.

10236672270400 is an abundant number, since it is smaller than the sum of its proper divisors (14952254347709).

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

10236672270400 is an frugal number, since it uses more digits than its factorization.

10236672270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159996 (or 79994 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 10236672270400 in words is "ten trillion, two hundred thirty-six billion, six hundred seventy-two million, two hundred seventy thousand, four hundred".