1015323478400 has 768 divisors, whose sum is σ = 3240041195520. Its totient is φ = 305233920000.

The previous prime is 1015323478307. The next prime is 1015323478457. The reversal of 1015323478400 is 48743235101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 845397800 + ... + 845399000.

It is an arithmetic number, because the mean of its divisors is an integer number (4218803640).

Almost surely, 2^{1015323478400} is an apocalyptic number.

1015323478400 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 1015323478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620020597760).

1015323478400 is an abundant number, since it is smaller than the sum of its proper divisors (2224717717120).

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

1015323478400 is a wasteful number, since it uses less digits than its factorization.

1015323478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 1015323478400 in words is "one trillion, fifteen billion, three hundred twenty-three million, four hundred seventy-eight thousand, four hundred".