1415113920 has 336 divisors, whose sum is σ = 5591738880. Its totient is φ = 324864000.

The previous prime is 1415113913. The next prime is 1415114059. The reversal of 1415113920 is 293115141.

It is a happy number.

1415113920 is a `hidden beast` number, since 141 + 511 + 3 + 9 + 2 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 600745 + ... + 603095.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^1415113920 is an apocalyptic number.

1415113920 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 1415113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795869440).

1415113920 is an abundant number, since it is smaller than the sum of its proper divisors (4176624960).

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

1415113920 is a wasteful number, since it uses less digits than its factorization.

1415113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1415113920 is about 37617.9999468340. Note that the first 4 decimals coincide. The cubic root of 1415113920 is about 1122.7002025503.

The spelling of 1415113920 in words is "one billion, four hundred fifteen million, one hundred thirteen thousand, nine hundred twenty".