1414257789952 has 176 divisors, whose sum is σ = 3289450526208. Its totient is φ = 595244482560.

The previous prime is 1414257789949. The next prime is 1414257790037. The reversal of 1414257789952 is 2599877524141.

It is a super-3 number, since 3×1414257789952³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 15 ways as a sum of consecutive naturals, for example, 91076013 + ... + 91091539.

It is an arithmetic number, because the mean of its divisors is an integer number (18690059808).

Almost surely, 2^{1414257789952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414257789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644725263104).

1414257789952 is an abundant number, since it is smaller than the sum of its proper divisors (1875192736256).

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

1414257789952 is a wasteful number, since it uses less digits than its factorization.

1414257789952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15764 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 64.

The spelling of 1414257789952 in words is "one trillion, four hundred fourteen billion, two hundred fifty-seven million, seven hundred eighty-nine thousand, nine hundred fifty-two".