414138146251 has 2 divisors, whose sum is σ = 414138146252. Its totient is φ = 414138146250.

The previous prime is 414138146239. The next prime is 414138146263. The reversal of 414138146251 is 152641831414.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (414138146239) and next prime (414138146263).

It is a cyclic number.

It is not a de Polignac number, because 414138146251 - 2²⁷ = 414003928523 is a prime.

It is not a weakly prime, because it can be changed into another prime (414138146221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207069073125 + 207069073126.

It is an arithmetic number, because the mean of its divisors is an integer number (207069073126).

Almost surely, 2^414138146251 is an apocalyptic number.

414138146251 is a deficient number, since it is larger than the sum of its proper divisors (1).

414138146251 is an equidigital number, since it uses as much as digits as its factorization.

414138146251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 92160, while the sum is 40.

Adding to 414138146251 its reverse (152641831414), we get a palindrome (566779977665).

The spelling of 414138146251 in words is "four hundred fourteen billion, one hundred thirty-eight million, one hundred forty-six thousand, two hundred fifty-one".