1414010120040 has 192 divisors, whose sum is σ = 5374178409600. Its totient is φ = 315685956096.

The previous prime is 1414010120027. The next prime is 1414010120059. The reversal of 1414010120040 is 400210104141.

1414010120040 is a `hidden beast` number, since 1 + 414 + 0 + 10 + 1 + 200 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1414010119995 and 1414010120022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6416235 + ... + 6632954.

It is an arithmetic number, because the mean of its divisors is an integer number (27990512550).

Almost surely, 2^{1414010120040} is an apocalyptic number.

1414010120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414010120040 is an abundant number, since it is smaller than the sum of its proper divisors (3960168289560).

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

1414010120040 is a wasteful number, since it uses less digits than its factorization.

1414010120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049256 (or 13049249 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1414010120040 its reverse (400210104141), we get a palindrome (1814220224181).

The spelling of 1414010120040 in words is "one trillion, four hundred fourteen billion, ten million, one hundred twenty thousand, forty".