414956540501 has 2 divisors, whose sum is σ = 414956540502. Its totient is φ = 414956540500.

The previous prime is 414956540459. The next prime is 414956540503. The reversal of 414956540501 is 105045659414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410879718001 + 4076822500 = 640999^2 + 63850^2 .

It is a cyclic number.

It is not a de Polignac number, because 414956540501 - 2²⁶ = 414889431637 is a prime.

Together with 414956540503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414956540503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207478270250 + 207478270251.

It is an arithmetic number, because the mean of its divisors is an integer number (207478270251).

Almost surely, 2^414956540501 is an apocalyptic number.

It is an amenable number.

414956540501 is a deficient number, since it is larger than the sum of its proper divisors (1).

414956540501 is an equidigital number, since it uses as much as digits as its factorization.

414956540501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 414956540501 in words is "four hundred fourteen billion, nine hundred fifty-six million, five hundred forty thousand, five hundred one".