1042604366400 has 567 divisors, whose sum is σ = 3791649648969. Its totient is φ = 271721640960.

The previous prime is 1042604366389. The next prime is 1042604366423. The reversal of 1042604366400 is 46634062401.

The square root of 1042604366400 is 1021080.

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

1042604366400 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 0 + 4 + 3 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 375337571904 + 667266794496 = 612648^2 + 816864^2 .

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

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, 8209483137 + ... + 8209483263.

Almost surely, 2^{1042604366400} is an apocalyptic number.

1042604366400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1042604366400 is the 1021080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042604366400

1042604366400 is an abundant number, since it is smaller than the sum of its proper divisors (2749045282569).

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

1042604366400 is an equidigital number, since it uses as much as digits as its factorization.

1042604366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 1042604366400 by its sum of digits (36), we get a square (37533757190400 = 6126480²).

1042604366400 divided by its sum of digits (36) gives a square (28961232400 = 170180²).

The spelling of 1042604366400 in words is "one trillion, forty-two billion, six hundred four million, three hundred sixty-six thousand, four hundred".