1001415518400 has 2016 divisors, whose sum is σ = 4121430497280. Its totient is φ = 210567168000.

The previous prime is 1001415518399. The next prime is 1001415518401. The reversal of 1001415518400 is 48155141001.

It is an interprime number because it is at equal distance from previous prime (1001415518399) and next prime (1001415518401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1001415518401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13718020764 + ... + 13718020836.

Almost surely, 2^{1001415518400} is an apocalyptic number.

1001415518400 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 1001415518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060715248640).

1001415518400 is an abundant number, since it is smaller than the sum of its proper divisors (3120014978880).

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

1001415518400 is a wasteful number, since it uses less digits than its factorization.

1001415518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The spelling of 1001415518400 in words is "one trillion, one billion, four hundred fifteen million, five hundred eighteen thousand, four hundred".