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408400048801 is a prime number
BaseRepresentation
bin1011111000101101000…
…10100011001010100001
31110001011002202001200101
411330112202203022201
523142400403030201
6511341050222401
741335351065133
oct5742642431241
91401132661611
10408400048801
111482241a9398
1267198424a01
132c686a0c014
1415aa3a45053
15a9540b6d01
hex5f168a32a1

408400048801 has 2 divisors, whose sum is σ = 408400048802. Its totient is φ = 408400048800.

The previous prime is 408400048789. The next prime is 408400048807. The reversal of 408400048801 is 108840004804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404775888400 + 3624160401 = 636220^2 + 60201^2 .

It is a cyclic number.

It is not a de Polignac number, because 408400048801 - 25 = 408400048769 is a prime.

It is not a weakly prime, because it can be changed into another prime (408400048807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204200024400 + 204200024401.

It is an arithmetic number, because the mean of its divisors is an integer number (204200024401).

Almost surely, 2408400048801 is an apocalyptic number.

It is an amenable number.

408400048801 is a deficient number, since it is larger than the sum of its proper divisors (1).

408400048801 is an equidigital number, since it uses as much as digits as its factorization.

408400048801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32768, while the sum is 37.

The spelling of 408400048801 in words is "four hundred eight billion, four hundred million, forty-eight thousand, eight hundred one".