414077323770414 has 32 divisors (see below), whose sum is σ = 945041339540640. Its totient is φ = 134295348249216.

The previous prime is 414077323770359. The next prime is 414077323770527.

414077323770414 is a `hidden beast` number, since 4 + 140 + 77 + 323 + 7 + 70 + 41 + 4 = 666.

414077323770414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103622951899 + ... + 103622955894.

It is an arithmetic number, because the mean of its divisors is an integer number (29532541860645).

Almost surely, 2^{414077323770414} is an apocalyptic number.

414077323770414 is an abundant number, since it is smaller than the sum of its proper divisors (530964015770226).

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

414077323770414 is a wasteful number, since it uses less digits than its factorization.

414077323770414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207245907841 (or 207245907835 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 414077323770414 in words is "four hundred fourteen trillion, seventy-seven billion, three hundred twenty-three million, seven hundred seventy thousand, four hundred fourteen".