1414103936 has 128 divisors (see below), whose sum is σ = 3394560000. Its totient is φ = 585930240.

The previous prime is 1414103921. The next prime is 1414103939. The reversal of 1414103936 is 6393014141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414103939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360505 + ... + 1361543.

It is an arithmetic number, because the mean of its divisors is an integer number (26520000).

Almost surely, 2^1414103936 is an apocalyptic number.

1414103936 is a gapful number since it is divisible by the number (16) 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 1414103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697280000).

1414103936 is an abundant number, since it is smaller than the sum of its proper divisors (1980456064).

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

1414103936 is an equidigital number, since it uses as much as digits as its factorization.

1414103936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1414103936 is about 37604.5733388906. The cubic root of 1414103936 is about 1122.4330440566.

The spelling of 1414103936 in words is "one billion, four hundred fourteen million, one hundred three thousand, nine hundred thirty-six".