1023574406400 has 2592 divisors, whose sum is σ = 4987679518080. Its totient is φ = 202887659520.

The previous prime is 1023574406389. The next prime is 1023574406419. The reversal of 1023574406400 is 46044753201.

1023574406400 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 7 + 4 + 4 + 0 + 640 + 0 = 666.

It is a super-2 number, since 2×1023574406400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1871250927 + ... + 1871251473.

Almost surely, 2^{1023574406400} is an apocalyptic number.

1023574406400 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 1023574406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493839759040).

1023574406400 is an abundant number, since it is smaller than the sum of its proper divisors (3964105111680).

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

1023574406400 is a wasteful number, since it uses less digits than its factorization.

1023574406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1023574406400 in words is "one trillion, twenty-three billion, five hundred seventy-four million, four hundred six thousand, four hundred".