1414629975660 has 192 divisors, whose sum is σ = 4576141785600. Its totient is φ = 322703380480.

The previous prime is 1414629975637. The next prime is 1414629975709. The reversal of 1414629975660 is 665799264141.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1414629975594 and 1414629975603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77936266 + ... + 77954414.

It is an arithmetic number, because the mean of its divisors is an integer number (23834071800).

Almost surely, 2^{1414629975660} is an apocalyptic number.

1414629975660 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 1414629975660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288070892800).

1414629975660 is an abundant number, since it is smaller than the sum of its proper divisors (3161511809940).

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

1414629975660 is a wasteful number, since it uses less digits than its factorization.

1414629975660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25136 (or 25134 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1414629975660 in words is "one trillion, four hundred fourteen billion, six hundred twenty-nine million, nine hundred seventy-five thousand, six hundred sixty".