1414077381100 has 72 divisors (see below), whose sum is σ = 3122793565920. Its totient is φ = 555712734720.

The previous prime is 1414077381077. The next prime is 1414077381149. The reversal of 1414077381100 is 11837704141.

It is a super-2 number, since 2×1414077381100² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1414077381100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891297 + ... + 1903303.

It is an arithmetic number, because the mean of its divisors is an integer number (43372132860).

Almost surely, 2^{1414077381100} is an apocalyptic number.

1414077381100 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 1414077381100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561396782960).

1414077381100 is an abundant number, since it is smaller than the sum of its proper divisors (1708716184820).

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

1414077381100 is a wasteful number, since it uses less digits than its factorization.

1414077381100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012267 (or 1012260 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 1414077381100 in words is "one trillion, four hundred fourteen billion, seventy-seven million, three hundred eighty-one thousand, one hundred".