1415991067920 has 1440 divisors, whose sum is σ = 6185101628160. Its totient is φ = 287036006400.

The previous prime is 1415991067919. The next prime is 1415991067949. The reversal of 1415991067920 is 297601995141.

It is a happy number.

1415991067920 is a `hidden beast` number, since 1 + 41 + 599 + 1 + 0 + 6 + 7 + 9 + 2 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 494927290 + ... + 494930150.

It is an arithmetic number, because the mean of its divisors is an integer number (4295209464).

Almost surely, 2^{1415991067920} is an apocalyptic number.

1415991067920 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 1415991067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092550814080).

1415991067920 is an abundant number, since it is smaller than the sum of its proper divisors (4769110560240).

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

1415991067920 is a wasteful number, since it uses less digits than its factorization.

1415991067920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1415991067920 in words is "one trillion, four hundred fifteen billion, nine hundred ninety-one million, sixty-seven thousand, nine hundred twenty".