1241397072400 has 405 divisors, whose sum is σ = 3310525404511. Its totient is φ = 447240765440.

The previous prime is 1241397072397. The next prime is 1241397072427. The reversal of 1241397072400 is 42707931421.

It is a happy number.

The square root of 1241397072400 is 1114180.

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

It can be written as a sum of positive squares in 40 ways, for example, as 982421933584 + 258975138816 = 991172^2 + 508896^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10985814744 + ... + 10985814856.

Almost surely, 2^{1241397072400} is an apocalyptic number.

1241397072400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1241397072400 is the 1114180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241397072400

1241397072400 is an abundant number, since it is smaller than the sum of its proper divisors (2069128332111).

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

1241397072400 is a wasteful number, since it uses less digits than its factorization.

1241397072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 1241397072400 in words is "one trillion, two hundred forty-one billion, three hundred ninety-seven million, seventy-two thousand, four hundred".