1415953968000 has 1024 divisors, whose sum is σ = 5754899404800. Its totient is φ = 303046656000.

The previous prime is 1415953967933. The next prime is 1415953968041. The reversal of 1415953968000 is 8693595141.

It is a super-4 number, since 4×1415953968000⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157867516 + ... + 157876484.

It is an arithmetic number, because the mean of its divisors is an integer number (5620018950).

Almost surely, 2^{1415953968000} is an apocalyptic number.

1415953968000 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 1415953968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877449702400).

1415953968000 is an abundant number, since it is smaller than the sum of its proper divisors (4338945436800).

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

1415953968000 is a wasteful number, since it uses less digits than its factorization.

1415953968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9026 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 1415953968000 in words is "one trillion, four hundred fifteen billion, nine hundred fifty-three million, nine hundred sixty-eight thousand".