1520416224000 has 576 divisors, whose sum is σ = 5619761172480. Its totient is φ = 404824780800.

The previous prime is 1520416223993. The next prime is 1520416224029. The reversal of 1520416224000 is 4226140251.

1520416224000 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 416 + 2 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×1520416224000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970271217 + ... + 970272783.

Almost surely, 2^{1520416224000} is an apocalyptic number.

1520416224000 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 1520416224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809880586240).

1520416224000 is an abundant number, since it is smaller than the sum of its proper divisors (4099344948480).

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

1520416224000 is a wasteful number, since it uses less digits than its factorization.

1520416224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1520416224000 in words is "one trillion, five hundred twenty billion, four hundred sixteen million, two hundred twenty-four thousand".