1041787662400 has 567 divisors, whose sum is σ = 2910814678359. Its totient is φ = 366856888320.

The previous prime is 1041787662353. The next prime is 1041787662407. The reversal of 1041787662400 is 42667871401.

The square root of 1041787662400 is 1020680.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24368458816 + 1017419203584 = 156104^2 + 1008672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1041787662407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13187185561 + ... + 13187185639.

Almost surely, 2^{1041787662400} is an apocalyptic number.

1041787662400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1041787662400 is the 1020680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041787662400

1041787662400 is an abundant number, since it is smaller than the sum of its proper divisors (1869027015959).

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

1041787662400 is an equidigital number, since it uses as much as digits as its factorization.

1041787662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 1041787662400 in words is "one trillion, forty-one billion, seven hundred eighty-seven million, six hundred sixty-two thousand, four hundred".