1241477222400 has 468 divisors, whose sum is σ = 4482140362752. Its totient is φ = 328422850560.

The previous prime is 1241477222383. The next prime is 1241477222413. The reversal of 1241477222400 is 42227741421.

1241477222400 is a `hidden beast` number, since 1 + 24 + 1 + 4 + 7 + 7 + 222 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117037897 + ... + 117048503.

Almost surely, 2^{1241477222400} is an apocalyptic number.

1241477222400 is a gapful number since it is divisible by the number (10) 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 1241477222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241070181376).

1241477222400 is an abundant number, since it is smaller than the sum of its proper divisors (3240663140352).

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

1241477222400 is a wasteful number, since it uses less digits than its factorization.

1241477222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 1241477222400 in words is "one trillion, two hundred forty-one billion, four hundred seventy-seven million, two hundred twenty-two thousand, four hundred".