1015413214400 has 336 divisors, whose sum is σ = 2758898419200. Its totient is φ = 365461770240.

The previous prime is 1015413214397. The next prime is 1015413214427. The reversal of 1015413214400 is 44123145101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1015413214400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643072811 + ... + 643074389.

It is an arithmetic number, because the mean of its divisors is an integer number (8211007200).

Almost surely, 2^{1015413214400} is an apocalyptic number.

1015413214400 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 1015413214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379449209600).

1015413214400 is an abundant number, since it is smaller than the sum of its proper divisors (1743485204800).

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

1015413214400 is a wasteful number, since it uses less digits than its factorization.

1015413214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1015413214400 its reverse (44123145101), we get a palindrome (1059536359501).

The spelling of 1015413214400 in words is "one trillion, fifteen billion, four hundred thirteen million, two hundred fourteen thousand, four hundred".