1047797904400 has 405 divisors, whose sum is σ = 2838991757463. Its totient is φ = 371451225600.

The previous prime is 1047797904383. The next prime is 1047797904401. The reversal of 1047797904400 is 44097977401.

The square root of 1047797904400 is 1023620.

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 270071459856 + 777726444544 = 519684^2 + 881888^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1047797904401) 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, 8250377137 + ... + 8250377263.

Almost surely, 2^{1047797904400} is an apocalyptic number.

1047797904400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1047797904400 is the 1023620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047797904400

1047797904400 is an abundant number, since it is smaller than the sum of its proper divisors (1791193853063).

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

1047797904400 is a wasteful number, since it uses less digits than its factorization.

1047797904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 1047797904400 in words is "one trillion, forty-seven billion, seven hundred ninety-seven million, nine hundred four thousand, four hundred".