400451001252077 has 2 divisors, whose sum is σ = 400451001252078. Its totient is φ = 400451001252076.

The previous prime is 400451001252019. The next prime is 400451001252103. The reversal of 400451001252077 is 770252100154004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334915840098436 + 65535161153641 = 18300706^2 + 8095379^2 .

It is a cyclic number.

It is not a de Polignac number, because 400451001252077 - 2⁶ = 400451001252013 is a prime.

It is a super-2 number, since 2×400451001252077² (a number of 30 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 400451001252077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400451001252007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200225500626038 + 200225500626039.

It is an arithmetic number, because the mean of its divisors is an integer number (200225500626039).

Almost surely, 2^{400451001252077} is an apocalyptic number.

It is an amenable number.

400451001252077 is a deficient number, since it is larger than the sum of its proper divisors (1).

400451001252077 is an equidigital number, since it uses as much as digits as its factorization.

400451001252077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78400, while the sum is 38.

The spelling of 400451001252077 in words is "four hundred trillion, four hundred fifty-one billion, one million, two hundred fifty-two thousand, seventy-seven".